MECHANISM DESIGN AND SYNTHESIS - GBV

DE-Vol. 46

MECHANISM DESIGN AND SYNTHESIS presented at THE 1992 ASME DESIGN TECHNICAL CONFERENCES -

22ND BIENNIAL MECHANISMS CONFERENCE SCOTTSDALE, ARIZONA SEPTEMBER 13-16, 1992

sponsored by THE DESIGN ENGINEERING DIVISION, ASME

edited by G. KINZEL OHIO STATE UNIVERSITY

C. REINHOLTZ VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY

G. R. PENNOCK PURDUE UNIVERSITY

G. J. WIENS AUBURN UNIVERSITY

R. J. CIPRA PURDUE UNIVERSITY

B. B. THOMPSON MICHIGAN STATE UNIVERSITY

T. R. CHASE UNIVERSITY OF MINNESOTA

THE A M E R I C A N SOCIETY OF M E C H A N I C A L E N G I N E E R S

United Engineering Center «% 345 East 47th Street *% New York, N.Y. 10017

CONTENTS

MECHANISM DESIGN A Generalized Performance Sensitivity Synthesis Methodology for Four-Bar Mechanisms

Ming-Yih Lee and Arthur G. Erdman 1 A Derivation of the Pole Curve Equations in the Projective Plane

Michael H. Brady and Steven W. Peterson 5 The Pole Curve Generated by Infinite Poles

Michael H. Brady and Steven W. Peterson 13 The Anatomy of Smart Materials and Structures, and Their Influence on Design Practices for

Mechanisms, Machines and Robotic Systems B. S. Thompson, M. V. Gandhi, and S. B. Chol 19

A New Damping Model for Non-Linear Stiffness Systems With Variable Preload Displacements and Constant Amplitude Decay Ratios

T. Xu and G. G. Löwen 27 Grashof Type Rotatability Criteria of Spherical Five-Bar Linkages

Dilip Kohli and Ardie Khonji 35

MECHANISM SYNTHESIS I A Complex Number Approach for Absolute Precision Position Synthesis for Three Precision

Positions John A. Mirth 43

A Dyad Search Algorithm for Solving Planar Linkages Using the Dyad Method Lofti Romdhane 49

Burmester-Theory for Band-Mechanisms Kurt Luck and Karl-Heinz Modler 55

A Straight-Line Mechanism and Its Application in Vehicles S. J. Zhang and D. J. Sanger 61

A General Procedure for Dimensional Synthesis of Mechanisms Michael Rygaard Hansen 67

Synthesis of Single-Input and Multiple-Output Port Mechanisms With Springs for Specified Energy Absorption

John G. Jenuwine and Ashok Midha 73

ENTIRE MOTION CHARACTERISTICS I Geometrie Conditions for the Satisfaction of Order in Four Position Synthesis of Four-Bar

Linkages John A. Mirth 81

Transmission Error Analysis of a Parallel Symmetrie Geared Linkage Mechanism Ji-Hou Yang 89

Joint Rotation Space of Five-Bar Linkages

Kwun-Lon Ting and J. H. Shyu 93 A New Parameter for Transmission Quality and Output Sensitivity Analysis of Mechanisms

Fubang Wu and H. M. Lankarani 103 Synthesis of Mechanisms Including Circuit Defects, Branch Defects and Input-Crank Rotatability

Jyun-Cheng Cheng and Dilip Kohli 111 Link-Centre and Indexes of a Kinematic Chain

V. P. Agrawal, J. N. Yadav, and C. R. Pratap 121

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COMPUTER-AIDED DESIGN OF MECHANISMS Simulation of Mechanical Systems With Multiple Frictional Contacts

Yin-Tien Wang and Vijay Kumar 129 Software for Optimum Gear Design (DISENG)

Juan Carlos Jäuregui, Rodrigo Lopez Sansalvador, Alfredo Ramos Aparicio, and Isaias Regalado Contreras 135

Identification of Flexible Link Dynamics Using Neural Networks Lawrence D'Arcangelis and Satish S. Nair 141

Rectified Synthesis of Coupler-Driven Four-Bar Mechanisms for Four-Position Motion Generation S. Bawab, Gary L. Kinzel, and Kenneth J. Waldron 147

Parametric Defiection Approximations for End-Loaded, Large-Deflection Beams in Compliant Mechanisms

Larry L. Howell and Ashok Midha 157 Evaluation Criteria for Conceptual Designs of Deployable-Foldable Truss Structures

Dirk B. Warnaar 167

TOPICS IN MECHAN1SM EDUCATION Development of Commercial Quality Software for Mechanisms Design Education

Steven J. Timmins 175 Issues on Teaching Kinematics and Mechanisms Design

Arthur G. Erdman and Thomas R. Corrigan 179 Machine Design Projects Using TK Solver

Mike Goatley and Raghu Echempati 185 New CAD Approaches in Research and Teaching for the Design of Non-Uniform Motion

Mechanisms Wolfram Funk 191

DESIGN OF MACHINES Multiple Flywheel Recuperation System

Philip Marinov and Stefan Pavlov 197 Torque Resolver Design for Tendon-Driven Manipulators

Jyh-Jone Lee and Lung-Wen Tsai 203 Automated Cam-Mechanism Synthesis and Analysis

Arnold T. Eventoff 211 Exact Generation of Perpendicular Pipe Intersection Geometry

C. Amarnath 225 Mechanisms of the Ancient Greek Theater

Andrew D. Dimarogonas 229

MECHANISM SYNTHESIS II Systematic Synthesis and Applications of Novel Multi-Degree-of-Freedom Differential Systems

Sridhar Kota and Srinivas Bidare 235 Position-Force Synthesis of Closed-Loop Linkages

Chintien Huang and Bernard Roth 243 Generalized Synthesis of Adjustable Mechanisms

Tushchai Chuenchom and Sridhar Kota 253 Directional Probabilistic Design of Three-Coupler-Point Four-Bar Mechanisms

George R. Schade, Douglas R. Korbel, and Deena D. Shanmugam 261 A Constructive Variational Geometry Based Mechanism Design Software Package

Philip H. Todd 267

MECHANISM SYNTHESIS III Computer Aided Design and Analysis of the Rack and Pinion Mechanism

D. Srinivas and Steven N. Kramer 275 Complete Solutions to Synthesis of Six-Link, Slider-Crank and Four-Link Mechanisms for

Function, Path and Motion Generation Using Homotopy With M-Homogenization Anoop K. Dhingra, Jyun-Cheng Cheng, and Dilip Kohli 281

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An Automated Inversion Approach to Closed-Form Kinematic Analysis of Planar Mechanisms Arunava Biswas and Gary L Kinzel 293

A Unified Analysis and Implementation of Four Muitipiy Separated Position Synthesis of Four-Bar Linkages

P. Srikrishna and Kenneth J. Waldron 301 Simplified Mechanism Design

Preben W. Jensen 309 Determination of the Shortest Crank in Four Position Synthesis:

A Numerical Approach Shin Min Song, Fu-Hung Lu, Ning-Xin Chen, and

Kenneth J. Waldron 315

CAM SYSTEMS On the Design of Planar and Spherical Pure-Rolling Indexing Cam Mechanisms

Max Antonio Gonzälez-Palacios and Jorge Angeles 323 The Synthesis of Cam-Oscillating Roller-Follower Mechanisms:

A Unified Approach Max Antonio Gonzälez-Palacios and Jorge Angeles 329

Synthesis of Wrapping Cams Paul H. Tidwell, Naveed Bandukwala, Sanjay G. Dhande,

Charles F. Reinholtz, and Greg Webb 337 Application of the Theory of Envelope to the Determination of Camoid Profiles With Translating

Followers Der Min Tsay and Guan Shyong Hwang 345

A General Optimization Program for Design of Cam Mechanisms Han Zhao, J. Liang, and T. Ma 353

ENTIRE MOTION CHARACTERISTICS II Circuit Rectification for Four Precision Position Synthesis of Stephenson Six-Bar Linkages

John A. Mirth and Thomas R. Chase 359 Circuit Rectification for Four Precision Position Synthesis of Four-Bar and Watt Six-Bar Linkages

John A. Mirth and Thomas R. Chase 367 Graphical Synthesis for Limit Positions of a Four-Bar Mechanism Using the Triangle Inequality

Concept Tony W. Norton, Ashok Midha, and Larry L Howell 377

Rotatability Laws for Spherical N-Bar Kinematic Chains Yung-Way Liu and Kwun-Lon Ting 387

Multiloop Spatial Kinematic Analysis Based on the Joint Displacement Method Yu-Neng Yang, Wei-Hua Chieng, and David A. Hoeltzel 395

GEARS AND MACHINE ELEMENTS Kinematic and Static Force Analysis of Rocker-Pin Jointed Silent Chains With Involute Sprockets

N. K. Bucknor and Ferdinand Freudenstein 407 Computerized Simulation of Generation of Internal Involute Gears and Their Assembly

F. L Litvin, C.-L. Hsiao, J.-C. Wang, and X. Zhou 415 Criteria for the Design of High Efficiency Planocentric Transmissions

Juan Carlos Jäuregui and Rodrigo Lopez Sansalvador 423 On the Dynamic Analysis of Roller Chain Drives: Part I - Theory

Nicholas M. Veikos and Ferdinand Freudenstein 431 On the Dynamic Analysis of Roller Chain Drives: Part II — Case Study

Nicholas M. Veikos and Ferdinand Freudenstein 441 An Application of Generalized Kinematic Chains to the Structural Synthesis of Nonfractionated

Epicyclic Gear Trains Cheng-Ho Hsu 451

MECHANISM SYNTHESIS IV A Dynamic Implementation of Keller's Sketching Rules for Burmester Curves: An Approach to

Sensitivity Analysis J. Keith Nisbett and Sanjay K. Gupta 459

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Tolerance Synthesis Method for an Industrial Crank-Rocker Application Mark M. Benner and Arthur G. Erdman 463

Geometrie Characteristics of the Center-Point Curve Based on the Kinematics of the Compatibility Linkage

J. A. Schaaf and J. A. Lammers 475 A Proposed Method to Group the Solutions From Dimensional Synthesis:

Planar Triads for Six Precision Positions Xiancheng Lu and Chuen-Sen Lin 481

Use of Resultant in the Dimensional Synthesis of Linkage Components: Motion Generation With Prescribed Timing

Chuen-Sen Lin and Bao-Ping Jia 489 Four-Position Synthesis for Spatial Mechanisms With Two Independent Loops

Chien H. Chiang, Wei Hua Chieng, and David A. Hoeltzel 497

GENERATION OF MOTION TRAJECT0R1ES FOR CAD/CAM Geometrie Construction of Bezier Type Motion interpolants

Q. J. Ge and B. Ravani 511 Tool Path Geometry for Multi-Axis Kinematics Conversion in CAD-CAM Integration

Jui-Jen Chou and D. C. H. Yang 519 Automatic Generation of Piecewise Constant Speed Motion for Multi-Axis Machines

D. C. H. Yang and Jui-Jen Chou 531 A Quintic Spline Interpolator for Motion Command Generation of Computer-Controlled Machines

D. C. H. Yang and Fu-Chung Wang 537

MECHANISM OPT1MIZATION I Optimization of Function-Generating Mechanisms Using Input-Output Curve Planning:

Part I — Curve Planning and Data Preparation Zheng Liu and Jorge Angeles 545

The Second Order Optimum Synthesis of a Compound Mechanism With Flexible Member Caifang Meng, Zuo Dai, and Jianzhong Cha 551

Optimization of Function-Generating Mechanisms Using Input-Putput Curve Planning: Part II— Formulation and Optimization Strategies

Zheng Liu and Jorge Angeles 557 Optimization of Mechanism Timing Using Noncircular Gearing

Judd Bernard 565 Constrained Optimization of Multi-Degree-of-Freedom Mechanisms for Near-Time Optimal

Motions Satish Sundar and Zvi Shiller 571

MECHANISM SYNTHESIS V Synthesis of an RSSR-SS Mechanism Using a Continuation Method

Thiagaraj Subbian and Donald R. Flugrad, Jr. 579 A Unified Theory for Kinematic Synthesis

Paul A. James and Bernard Roth 587 Kinematic Transformation Matrices for 3D Surface Contact Joints

L J. Gutkowski and Gary L. Kinzel 599 Kinematic Analysis and Synthesis of Type III Movable Spatial 6R Mechanism With Three Adjacent

Parallel Axes Chung-Ching Lee and Hong-Sen Yan 607

A New Approach to the Synthesis of Spherical Mechanisms for Rigid Body Guidance CanLi 615

MECHANISM OPTIMIZATION II The Optimal Design of Mechanisms Employing a Synthesis Based Merit Function

Christian H. Gold and Stephen J. Derby 621

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Nonlinear Optimal Design of Dynamic Mechanical Systems T. E. Potter, K. D. Willmert, and M. Sathyamoorthy 633

A Singularity-Free Penalty Formulation for the Dynamics of Constrained Multibody Systems A. Avello and E. Bayo 643

Optimal Synthesis of Four-Bar Linkages for Four-Position Rigid-Body Guidance With Selective Tolerance Specifications

Shankar C. Venkataraman, Gary L. Kinzel, and Kenneth J. Waldron 651 Using Singular Value Decomposition in the Analysis of Over and Underconstrained Mechanisms

L. J. Gutkowski 661

Aiithor Index 671

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