Manipulator Mechanical Design, Speed, precision and reliability for industrial automation.
Manipulator Mechanical Design, In the following a few examples are presented by discussing their design and operation main Abstract Vibration severely affects the motion stability and accuracy of high-speed flexible manipulators. Discover the range and Many scholars have studied the optimum design of robot manipulators [16], [17], [18], [19]. The serial manipulators are assumed to be rigid and are modeled using the well-known Denavit-Hartenberg parameters. We knew that a significant amount of modeling and fabrication would be University, Cassino, Italy Abstract: The mechanical design of a proper manipulator can be recognized of fundamental importance to achieve a rational system layout for a robotized manufacturing. Whole-arm manipulation began as a research objective This paper describes the performance requirements and mechanical design of an arm designed and built at MIT for whole-arm manipulation. The double-manipulator rescue robot, which have two Compare to the results obtained analyzing a manipulator with links length within the design space, yet not optimal, the obtained manipulators through the proposed method meet the A common approach to modeling the mechanical dynamics of a robotic manipulator is the Lagrangian formalism. The robotic The competition requires teams to design a robotic picking solution that can autonomously pick and place a variety of household items. All motion in planar mechanisms is restricted to two The book is intended for undergraduate and graduate students that are interested in underactuated manipulators, researchers that This paper presents method of selection of configuration for manipulators of portable robots for special purposes. The design variables are discussed A mechanics-based parallel manipulator formulation with mechanism generalized coordinates, kinematic constraints, input coordinates, and output coordinates is employed to account Technological advancements in robotics significantly impact the design of robotic manipulators and their control. A manipulator model for use in a design process of manipu-lator mechanics is shown in this paper. The egg-grabbing manipulator never broke or dropped the egg during testing, and the paper-cutting manipulator could use a wider range of Presents several examples of how intelligent mechanical design can significantly improve robot manipulator performance. Manipulators find applications in electrical, mechanical, and process The mechanical structure of the manipulator consists of ball screw, slider and other mechanical devices; electric aspect consists of AC motor, inverter, sensor and other electronic devices. However, the The paper mainly talks about how to design a motion controller for manipulator of CNC machine which is used to change tools. Topics include mechanism design, mechanics of robots, Unlike fixed-based manipulators, mobile manipulators can navigate in broad areas, and therefore, they are particularly suitable for large industrial sites or even outdoors. Through SolidWorks, the manipulator Integrated mechanical and control design of underactuated multibody systems A synergistic optimal design for trajectory tracking of underactuated manipulators Funnel model Manipulator is the traditional task executing agency in industrial robot system, as well as one of the key components of the robot. It is generally a mechanism having multiple DOFs, consisting of links Advanced Manipulator Specialists engineers industrial manipulators, torque arms, end effectors, automated systems, and more to provide your company with custom material handling solutions. That successful design required only two iterations. Examples of such This paper will discuss in detail about the design optimization of power manipulator gripper for maximum grip force. After giving a thorough consideration of all the preceding works in Robot manipulators are revolutionizing industries around the world, playing a vital role in various applications and processes. In order to expand the use of robotic manipulators to complex tasks, a higher degree of tailoring of robots may In this paper, we analyze stiffness and perform geometrical optimization of a parallel–serial manipulator with five In this paper, the manipulator can carry and grasp objects as the research object, manipulator is mainly composed of hands and motion mechanism. This project involves the design and analysis of a six DOF manipulator for welding, pick and place application. Then its DH frames and link The manipulator architecture of a robot is composed of an arm mostly for movements of translation, a wrist for movement of orientation, and an end-effector for interaction with the environment and/or To explore planar manipulators with better performance, the developed method provides a suite of analysis procedures including Research on the dynamic modelling and control of flexible manipulators has received increased attention since the last 30 years due to their several advantages over rigid ones Manipulator systems are rather complex and highly nonlinear which makes difficult their analysis and control. degree in Mechanical Abstract:This paper gives a mechanism design of a six DOF hydraulically actuated manipulator firstly. These manipulators combine the benefits of both In this paper, we have presented the mechanical design of a novel aerial manipulator which was the result of technical optimization problems. Zhao et al. On the example of the Mechanical manipulators for customised pick and place operations. Classic system theory is veil known, however it is inadequate in the presence of strong In this paper, an eight-degree-of-freedom redundant manipulator is designed to meet the working requirements. The control and monitoring system is mainly used to carry the objects by pneumatic manipulator. In this context, In this article, a technical design of a universal versatile robotic manipulator for handling with automotive products is presented. This component is the primary That successful design required only two iterations. The mechanical structure of the manipulator consists of ball screw, slider In connection with researches in the area of Artificial Intelligence, several studies have been made of mechanical manipulators for use under computer control. The target is to minimize deformation and vibration in application and the focus is to model The structure, working principle and the hydraulic system theory of the industrial manipulator, based on PLC were introduced in the paper. In the realm of industrial innovation and technological advancement, robot manipulators stand as a testament to human ingenuity and the The problem of the manipulator design is approached through an optimization formulation from a kinematic point of view for positioning tasks. Speed, precision and reliability for industrial automation. The adsorption type hand is Parallel–serial (hybrid) manipulators represent robotic systems composed of kinematic chains with parallel and serial structures. The workspace of manipulators is one of the most significant specific performance parameters of both robotic and purely mechanical manipula-tors, addressed especially in robotics texts, such as for Abstract This paper describes the performance requirements and mechanical design of an arm designed and built at MIT for whole-arm manipulation. Next, its forward kinematic equations are derived Robot manipulator platform development consists of multiple components, including mechanical systems, actuators, electrical systems, and environmental models. W. A serial manipulator (SM) is a mechanism of open kinematic chain while a parallel manipulator (PM) is a mechanism whose EE is connected to its base by at least two independent kinematic chains (Merlet, In order to ensure adequate control for such tasks, particularly when in force mode, stringent demands are made upon the mechanical structure of the manipulator. Introduction The problem of the optimal design and location of manipulators has been addressed in the last decade, with particular formulations with respect to the optimization techniques and the robot A practical application of the modelling and validation of an open-chain industrial manipulator is presented in this paper. The Dynamics of Manipulators have two types of problems, This paper describes the design, construction and experimental testing of a single-joint manipulator arm actuated by pneumatic MIT researchers created an integrated design pipeline that enables a user with no specialized knowledge to quickly Parallel-serial (hybrid) manipulators represent robotic systems composed of kinematic chains with parallel and serial structures. , 2002, “Design optimization of a Cartesian parallel manipulator”, Department of Mechanical Engineering, Bourns College of Engineering, University of California. Two well-known Robot geometries are imported to MATLAB using the "importrobot" function and to Simscape Multibody using the "smimport" function. The target is to minimize deformation and vibration in application and the The theory of the development of the planar parallel manipulators are based on the major categories such as novel design, optimized design, redundant designs, kinematic and After that, the authors utilized a simulation program called sim-mechanics to model the robot's mechanics and change the model-based control approaches. This paper summarizes these results, and This paper mainly studies and designs the control system of a four-degree-of-freedom manipulator. The structure of the Download Premium 3D Manipulator Models Explore 783 manipulator 3D models ready for download to use in animation, games, VR/AR, and a variety of projects. Both mechanical and electrical equations of motion were used Tailoring of the mechanical design of a robot manipulator can be formulated as an optimization problem and we propose to use Genetic Algorithms (GA) to optimize link lengths, link diameters, and Lecture 20 - Velocity propogation model for serial manipulators and Jacobian matrix 22 Criteria for the Design of Manipulator Arms for a High Stiffness to Weight Ratio Karim Abdel-Malek Department of Mechanical Engineering and Center for Computer Aided Design, The University of Optimal design and singularity analysis are two important aspects of mechanism design, and they are discussed within a spatial parallel A parallel manipulator is defined as a type of mechanical system that utilizes multiple actuators to control a common end effector, allowing for high accelerations and accuracy in industrial tasks. It consists of two soft manipulators, which are A robotic manipulator is a cornerstone of modern automation, and our drawing highlights the robust and modular design that allows for its In the process of conceptual design of industrial manipulators, people need to master the relevant key technologies, because these technologies determine the effect of conceptual design of industrial About this book The book explores the fundamental issues of robot mechanics for both the analysis and design of manipulations, manipulators and grippers, taking A mechanical manipulator is a device used in engineering and robotics to handle, position, or process materials or tools. This paper introduces some basic concepts regarding the workspaces of manipulators. These The technical design of the manipulator includes calculation of forces needed for reliable gripping of manipulated objects, choice of a working screw and calculation of the load and Introduction A conventional parallel manipulator (PM) is considered as a closed-loop manipulator, which is composed of one fixed base, one rigid moving platform, and several serial The process involved in designing, fabricating and analysing a mobile robotic manipulator to carry out pick and place task in a dynamic and A parallel manipulator is a mechanical system formed by two linked platforms, namely, the fixed platform and the moving platform. In the following a few examples are presented by discussing their design and operation main In this paper, we propose a new 7-DOF redundant manipulator that has better flexibility and higher deadweight ratio. The robotic manipulator is a new type of device developed in the process of mechanization and automation. For more information on A manipulator model for use in a design process of the mechanics is shown in this paper. This study introduces a novel design concept for Through the design and analysis of the pneumatic loop, the motion mode of the manipulator is determined, and the specific motion of each part is described. The natures of the numerous singular configurations and means of In this paper, a planar 2-DOF parallel manipulator with actuation redundancy is proposed and the optimal design considering kinematics and natural fre His current research interests include in-pipe robot and manipulator, mechanical design and control, and mechatronics. (2022) have developed a review paper on modeling, and control techniques of robotic manipulators. As a motion control system, the control system is mainly oriented to the Meanwhile, the dynamic models of each manipulator are weighted by using experimental test devices of single connecting rods and rotating-moving joints [7]. These results further illustrate that mechanical Therefore, in the design of the manipulator's hand, a The pneumatic control principle is adopted in this design, and replaceable hand structure is designed; in the Robot manipulators are robotic systems designed to perform physical manipulation tasks, such as lifting, moving and placing objects in different industrial environments This paper gives a mechanism design of a six DOF hydraulically actuated manipulator firstly. Serial manipulators offer flexibility and reach, while A study is presented in this paper that uses a simple mechanical analogy to analytically tune the PD (proportional-derivative) controller of a linear flexible manipulator system. Whole-arm manipulation began as a research objective to The paper illustrates the various design parameters implemented on our robotic manipulator that enables its usage in an alien environment and for space exploration. This research presents a novel two-chain parallel structure with symmetrical features. Making use of the fundamental properties of the manipulator Performance is paramount to parallel manipulators. More specifically, the aim Therefore, it is an important research direction in the field of mechanical arms to establish its dynamic model and explore the general method of controller design. Planar mechanisms are often simpler to design and analyze than spatial mechanisms, and they can be more efficient and reliable in operation. Minimizing the energy consumption of robot manipulators is essential to address both environmental and economic challenges. Some A robotic manipulator is an advanced, electronically controlled system made up of interconnected electric, electronic, and mechanical Abstract. The most recent advances include What are manipulator robots? Understanding their Design, Types, and Applications Ever wondered how robotic arms achieve precise Manipulator Mechanical Design Particular structure of a manipulator influences kinematic and dynamic analysis The tasks that a manipulator can perform will also vary greatly with a particular design (load In order to solve real-world problems safely and effectively, this effort intends to build the mechanical design of the manipulator by SOLIDWORKS and simulate trajectory tracking The remainder of the paper is organized as follows: Section 2 describes mechanical design features and capabilities of existing underwater manipulators and gives their comparison. Presenting fresh and authoritative material on Tailoring of the mechanical design of a robot manipulator can be formulated as an optimization problem and we propose to use Genetic A single machine automatic loading and unloading manipulator was designed to solve the problem of loading and unloading material for YT28-1030 closed press. It would be of particular interest to learn how to systematically design and control a We demonstrate the utility of this pipeline by creating four custom manipulators tested on real-world tasks: screwing in a wing nut, pouring water from a bottle, In this paper, we propose a new 7-DOF redundant manipulator that has better flexibility and higher deadweight ratio. At This research introduces a 6-degree-of-freedom parallel manipulator with a reconfigurable fixed base; the manipulator performance has been evaluated to select the most A survey of the analysis of the workspace of manipulators is presented with the aim of outlining fundamental characteristics still of current interest and source of research, also Abstract. This has led to the Introduction to Robotic Arm s A robotic arm, also known as a mechanical arm or a manipulator, is a programmable mechanical device Compensation of Nonlinearity and Decoupling Control This paper presents a new adaptive control scheme for mechanical manipulators. The main content of this paper is about using PLC programmable controller to control Great accuracy and repeatability are expected and necessary to accomplish the desired jobs, and these depend on a combination of physical mechanical characteristics as well as However, the automated design tools are often focused on a single stage of the design process, for example, kinematics design, mechanical topology, or drive selection. This parallel structure with eight revolute joints owns infinite bifurcation points Pneumatic muscles have significant advantages over typical pneumatic cylinders, such as smooth speed adjustment, higher power-to-weight This chapter presents the design and development of a lightweight single-link planar constrained flexible manipulator. In Mechanical Master-Slave Manipulators (MSM) when the operator grasps the hand grip and manipulates the master arm, the motion of the master arm is reproduced by the slave arm, Optimal dimensioning is a fundamental problem in the design of Parallel Manipulators (PMs). McTaggart and others published Mechanical Design of a Cartesian Manipulator for Warehouse Pick and Place | Find, read and cite all the In the Dynamics of Manipulators we deal with the forces and torques applied by the actuators at different members and joints of the manipulators. The target is to minimize defor-mation and vibrations in application. Methods on This project is a comprehensive 2-DOF (two degrees of freedom) planar elbow manipulator developed as part of the Sabancı University ME408 Mechatronic System Design course. The double-manipulator rescue robot, which have two Manipulator Design is the systematic engineering process focused on creating mechanical systems capable of handling, moving, and manipulating objects with precision and control in automated This review paper provides an overview of mechanical design approaches for balanced robotic manipulation, with an emphasis on Abstract. The mechanical structure of the system, the number of thrusters and their Abstract: In the existing modular joint design and control methods of collaborative robots, the inertia of the manipulator link is large, the dynamic trajectory planning ability is weak, the collision stop safety A new theory and a resulting algorithm for tracing the bounding surfaces of mechanical manipulator workspaces is presented. Furthermore, Mahil and Al This paper presents the concept design, the fabrication and the experimental characterization of a unit of a modular manipulator for minimal access surgery. , Adeboye, B. Most of the rest of the paper focuses on Through the design of mechanical hand, understand the modern enterprise in the completion of automatic control can not be separated from the PLC control, it can make the enterprise at the same This paper focuses on the design and dynamic modeling of a novel multi-section continuum and compliant robotic manipulator with large workspace. The method consisted of two main parts: Park and Asada [2] show the design of the mechanical structure of a manipulator with two rotational joints. These A robotic manipulator is a reprogrammable and multifunctional mechanical device responsible for moving materials, parts, objects, or tools through programmed A manipulator arm is a type of (usually) programmable mechanical arm with functions similar to a human arm. This review focuses on manipulator control systems, which are systems that control the movement of manipulators, a type of robot In this study, the design of the whole process refers to the industrial mechanical arm for coordinating the design size of the manipulator, the number of gear teeth in the overall application and We would like to show you a description here but the site won’t allow us. In order to improve the reliability of changing tool for ATC (automatic tool changer), a horizontal tool changer of machining center is chosen This article deals with the kinematics of serial manipulators. The applications were The flexibility of various robotic manipulators can be harnessed to automate processes in different industries. It This paper presents an approach of modeling a manipulator with rotational joints for use in a mechanical design process (Fig. The design process is split into two parts. The egg-grabbing manipulator never broke or dropped the egg during testing, and the paper-cutting manipulator As a bonus, you will also see how to create robot manipulator simulations that involve perception to complete more advanced manipulation tasks. These methods include passive, mechanical, and energy-conservative MQS Technologies leverages its decades of multi-disciplinary engineering expertise to design & build customized manipulators for a multitude of applications. Re-programmability of a Design methods have been improving with an increasing level of algorithmic support for some time. For a given II. Improving the overall performance of parallel manipulator is the bridge to connect the 1. For a given This book contains the Proceedings of the 4th IFToMM Symposium on Mechanism Design for Robotics. Various factors influence gripper design and construction: these are In this paper a novel aerial manipulation system is proposed. , and Tsai L. In the case of hydraulic manipulators, the actuator forces of the double An autosampler for solid samples for radiation measurement In robotics, a manipulator is a device used to manipulate materials without direct physical contact by the operator. Issac Rhee received his B. The moving platform is connected to the fixed This research proposes a novel adaptive robust fault-tolerant controller for symmetrical robotic manipulators subject to model uncertainties . Manipulator arms may be part of a more complex mechanism or be, itself, a complete From the Publisher: This unique book provides the fundamental knowledge needed for understanding the mechanics of both serial and parallel manipulators. Their versatility and adaptability make them an essential Once the manipulator design is finished, the program will automatically generate 3D printing and knitting files for manufacturing. The mechanical structure of the manipulator consists of ball The subject of spatial mechanisms and robot manipulators continues to see sensational theoretical advances and exciting practical applications in fields ranging from product This project describe a mechanical system, design concept and prototype implementation of a 6 DOF robotic arm, which should perform This paper presents the design and performance evaluation of a low-cost Cartesian manipulator, Cartman who took first place in the Amazon Robotics Challenge 2017. DESIGN OF INDUSTRIAL MANIPULATOR The mechanical construction in this project is to build and assemble the robotic arm body. In la A manipulator model for use in a design process of the mechanics is shown in this paper. These Therefore, in the design of the manipulator's hand, a The pneumatic control principle is adopted in this design, and replaceable hand structure is designed; in the design of the the pneumatic transmission In this article, we'll dissect the different types of manipulators used in robotics, where they shine and their limitations. In this paper, we show the whole design process of a robotic manipulator in an automated workflow. S. Download Citation | A high torsional stiffness continuum manipulator: design, static modeling and experimental characterization | Cable-driven continuum manipulators offer excellent Industrial manipulators are mechanical devices designed to assist with lifting, moving and positioning heavy or oddly shaped objects. When motor force is applied upward, the gripper jaws move towards each other. The design process involves selection of material types in The types of manipulator can be divided into hydraulic, pneumatic, electric and mechanical manipulator according to the driving mode; special manipulator and general manipulator according to the scope This chapter contains sections titled: Introduction Principles of Robot Systems Engineering Robot Kinematic Design Drive Chain Servo-Drives Gears Couplings Measuring Systems The principles of closed loop mechanical chains can be applied to design highly dexterous serial manipulators by assuming the distance between the base of the manipulator and the A robotic manipulator arm is the mechanical structure designed to interact physically with its surroundings, replacing a human arm in automated industrial settings. A mathematical model for the kinematics and dy-namics Alvaro Paz, Jouni Mattila Abstract—This paper presents the analytic modeling of mobile heavy-duty manipulators with actively articulated suspension and its optimal control to maximize its static and Abstract—Manipulator is the traditional task executing agency in industrial robot system, as well as one of the key components of the robot. The project Modern robotic manipulators play an essential role in industry, developing several tasks in an easy way, enhancing the accuracy of the final product and reducing the executing time. According to the driving mode, it can be divided into hydraulic type, pneumatic type, PDF | On Sep 15, 2017, M. Additionally, models of dynamics of flexible This paper presents the design and implementation of a dual-arm soft robotic manipulator. Control of robotics manipulator is a This design is a pneumatic loading and unloading manipulator, through the relevant literature review and collation and market research, the Robots are becoming increasingly more common in the industry. However, this problem is revealed to be very hard to solve In this study, the design of the whole process refers to the industrial mechanical arm for coordinating the design size of manipulator, the the number of gear teeth in overall the application and gear Application of robotics to agriculture involves specific design of manipulators to account for the need of light structures working at high speeds and acceleration, while preserving the environment against This chapter contains sections titled: Introduction Principles of Robot Systems Engineering Robot Kinematic Design Drive Chain Servo-Drives Gears Couplings Measuring Systems The mechanical design was one of the first focuses of our team when tackling this project. This programmable, multi-segmented mechanism executes Design and Fabrication of a Manually Controlle d Electro-Mechanical Manipulator for Educational Purpose Olukayode, O. 1). The paper delves into the kinematic design of manipulators, describing the integral components and characteristics of robotic systems, including mechanical, sensorial, and intellectual capabilities. Design and Simulation of underwater manipulator gripper In this paper, a parallel gripper with force-tactile perception is designed, and its structure analysis and kinematics simulation A robot manipulator with six degrees of freedom can be separated into two parts: the arm with the first three joints for major positioning and the wrist with the last three joints for major The design and analysis of a robotic manipulator for limiter removal in nuclear fusion reactors requires a structured approach that integrates material selection, structural design, Altmetric Research Article Design and control of a 7 DOF redundant manipulator arm Priyadarshi Biplab Kumar a Department of Mechanical Engineering, OP Jindal University, The main function of a gripper is to grasp the object of manipulation, hold it during manipulation, and release it at its destination. In this case, a novel trajectory feed-forward control strategy is proposed to What Is a Robot Manipulator? A robot manipulator is a programmable mechanical device designed to move objects, tools, or materials Industrial manipulators are high-performance material handling solutions designed to improve ergonomics, precision, and efficiency in industrial environments. Sahu et al. In the Highlighting the authors’ research achievements in the domain of manipulator design and control, this paper presents a systematic and In the existing modular joint design and control methods of collaborative robots, the inertia of the manipulator link is large, the dynamic trajectory planning ability is weak, the collision Los Angeles Mechanical Design of a Cartesian Manipulator for Transducer Placement in Nondestructive Evaluation Experiments The primary purpose of this article is to present the manipulator structure and to design the virtual prototype of the manipulator. Case Studies of Manipulator Dynamics in Robotics Applications Manipulator dynamics has been successfully applied in various robotics applications, including: Industrial Several parallel manipulators are available in the market as industrial robots for practical applications. The focus is to model Design features A parallel manipulator is designed so that each chain is usually short, simple and can thus be rigid against unwanted movement, compared to a The design and implementation of a robot manipulator with 6 degrees of freedom (DOF), which constitutes a physical platform on which a variety of control techniques can be tested ABSTRACT. Mechanical design, CNC machining, welding, assembly, and quality control progress under one manufacturing authority — a structure that strengthens industrial manipulator manufacturer entity At the same time, it also provides a set of methodologies from mechanical design of robotic arms and overall design of the robots through modular research on system composition to A solution to this problem is to design balanced robotic manipulators for which the static forces and moments and/or shaking forces and This paper presents an approach of modeling a manipulator with rotational joints for use in a mechanical design process (Fig. We demonstrate the utility of this With continued innovation in materials, mechanical design and system control, robotic manipulators are poised to play an even more integral To develop a modular reconfigurable manipulator system, including the mechanical structure design of modular joints, connecting rods, and However, the automated design tools are often focused on a single stage of the design process, for example, kinematics design, mechanical Mechanical unit: The mechanical unit, also called a manipulator or arm, is the part that implements the required motion of the robot. Each Several parallel manipulators are available in the market as industrial robots for practical applications. Common Design Configurations The geometric arrangement of links and joints defines the manipulator’s configuration, dictating its workspace shape and mechanical strengths. Traditional surgical manipulators are usually Abstract Robotic manipulators are electronically controlled mechanical devices with several links, which are used to perform any specific task under certain circumstances. [20] exploited the least number method for variables in order to optimize the leg In this work, we automate the design process for modular manipulators: we introduce an end-to-end system that automatically synthesizes both structure and controls of modular manipulators from high Kim H. These Besides modeling for mechanical design, manipulator dynamics were used for controller algorithms [11] or trajectory planning [19]. What is a robotic manipulator? A robotic manipulator is an electronically controlled equipment that contains a set of electric, electronic and Highlighting the authors’ research achievements in the domain of manipulator design and control, this paper presents a systematic and comprehensive review of the state-of-the Parallel–serial (hybrid) manipulators represent robotic systems composed of kinematic chains with parallel and serial structures. Mechanical versatility of a robot can be understood as the capability to perform a variety of tasks because of the kinematic and mechanical design of its manipulator arm. And the system mainly contains communication The robotic manipulators are nowadays used for many applications in the industries. This manipulator design forms part of our winning entry to the Considering multi-manipulator trajectories and part contours, this paper quantitatively analyzes the deformation of compliant parts when the manipulator transfers sheet Based on the description of the working conditions of the small manipulator in the previous section, and considering the requirement for a long working range and folding capability, the Manipulator architectures form the backbone of robotic systems, shaping their capabilities and applications. A simultaneous optimization of the mechanical structure, which is modeled Once the kinematic architecture of a manipulator is sized by means of a kinematic design, a manipulator can be completely defined by means of a mechanical design that specifies all the sizes and details Robotic manipulators are used in various scenarios, such as industry and agriculture. Then its DH frames and link parameters are given. 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