Closure to “Discussion of ‘A General Method for Kineto-Elastodynamic Analysis and Synthesis of Mechanisms’” (1972, ASME J. Eng. Ind., 94, p. 1205)

1972 ◽  
Vol 94 (4) ◽  
pp. 1205-1205
Author(s):  
A. G. Erdman ◽  
G. N. Sandor ◽  
R. G. Oakberg
Keyword(s):  
Synthesis Of Mechanisms ◽  
Analysis And Synthesis ◽  
General Method

A General Method for Kineto-Elastodynamic Analysis and Synthesis of Mechanisms

1972 ◽  
Vol 94 (4) ◽  
pp. 1193-1205 ◽  
Author(s):  
A. G. Erdman ◽  
G. N. Sandor ◽  
R. G. Oakberg
Keyword(s):  
Dynamic Error ◽  
Viscous Friction ◽  
Body Motion ◽  
Analysis Technique ◽  
Synthesis Of Mechanisms ◽  
Analysis And Synthesis ◽  
External Loads ◽  
System Inertia ◽  
General Method ◽  
Internal Body

Kineto-elastodynamics is the study of the motion of mechanisms consisting of elements which may deflect due to external loads or internal body forces. This paper describes the initial phases in the development of a general method of kineto-elastodynamic analysis and synthesis based on the flexibility approach of structural analysis, which may be applied to any planar or spatial mechanism. Dynamic error is investigated due to flexural, longitudinal, and torsional element strain, and system inertia fluctuations; the treatment of Coulomb and viscous friction is indicated. Kineto-Elastodynamic Stretch Rotation Operators are derived which will rotate and stretch both planar and spatial link vectors reflecting rigid body motion plus elastic deformations of the link. A numerical example is presented to demonstrate the elastodynamic analysis technique.

REPRESENTATIONS AND IDENTIFICATIONS OF STRUCTURAL AND MOTION STATE CHARACTERISTICS OF MECHANISMS WITH VARIABLE TOPOLOGIES

2006 ◽  
Vol 30 (1) ◽  
pp. 19-40 ◽  
Author(s):  
Hong-Sen Yan ◽  
Chin-Hsing Kuo
Keyword(s):  
Topological Structure ◽  
Topological Analysis ◽  
State Machines ◽  
Matrix Representations ◽  
Motion State ◽  
New Concepts ◽  
Synthesis Of Mechanisms ◽  
Analysis And Synthesis ◽  
Finite State ◽  
State Graphs

A mechanism that encounters a certain changes in its topological structure during operation is called a mechanism with variable topologies (MVT). This paper is developed for the structural and motion state representations and identifications of MVTs. For representing the topological structures of MVTs, a set of methods including graph and matrix representations is proposed. For representing the motion state characteristics of MVTs, the idea of finite-state machines is employed via the state tables and state graphs. And, two new concepts, the topological homomorphism and motion homomorphism, are proposed for the identifications of structural and motion state characteristics of MVTs. The results of this work provide a logical foundation for the topological analysis and synthesis of mechanisms with variable topologies.

scholarly journals Analysis and Synthesis of Mechanisms with Bars and Gears Used in Robots and Manipulators

2017 ◽  
Author(s):  
Relly Victoria mname Petrescu ◽  
Raffaella mname Aversa ◽  
Antonio mname Apicella ◽  
MirMilad mname Mirsayar ◽  
Samuel mname Kozaitis ◽  
...  
Keyword(s):  
Synthesis Of Mechanisms ◽  
Analysis And Synthesis

Analysis and Synthesis of Linear Transmission Mechanisms: Coupled Mechanisms and Mechanisms Wth Prismatic Joints

1994 ◽  
Author(s):  
Sun-Lai Chang
Keyword(s):  
Open Loop ◽  
Joint Motion ◽  
Transmission Mechanisms ◽  
Synthesis Of Mechanisms ◽  
Analysis And Synthesis ◽  
Prismatic Joints ◽  
Application Potential ◽  
Loop Chain

Abstract The characteristics of linear transmission mechanisms are studied. Using the characteristics, the kinematic and synthesis of linear transmission mechanisms are expanded. First, the synthesis of mechanisms with prismatic joints in the equivalent open-loop chain is developed. Then the kinematics and synthesis of mechanisms with coupled joint motion are also derived. Two coupled mechanisms are used as examples to demonstrate the application potential in the industry.

Solving Polynomial Systems for the Kinematic Analysis and Synthesis of Mechanisms and Robot Manipulators

1995 ◽  
Vol 117 (B) ◽  
pp. 71-79 ◽  
Author(s):  
M. Raghavan ◽  
B. Roth
Keyword(s):  
Kinematic Analysis ◽  
State Of The Art ◽  
Polynomial Systems ◽  
The State ◽  
Polynomial Equations ◽  
Systems Of Equations ◽  
Synthesis Of Mechanisms ◽  
Analysis And Synthesis ◽  
Systems Of Polynomial Equations ◽  
And Robotics

Problems in mechanisms analysis and synthesis and robotics lead naturally to systems of polynomial equations. This paper reviews the state of the art in the solution of such systems of equations. Three well-known methods for solving systems of polynomial equations, viz., Dialytic Elimination, Polynomial Continuation, and Grobner bases are reviewed. The methods are illustrated by means of simple examples. We also review important kinematic analysis and synthesis problems and their solutions using these mathematical procedures.

scholarly journals Kinematic Analysis and Synthesis of Mechanisms

2021 ◽  
Author(s):  
Asok Kumar Mallik ◽  
Amitabha Ghosh ◽  
Günter Dittrich
Keyword(s):  
Kinematic Analysis ◽  
Synthesis Of Mechanisms ◽  
Analysis And Synthesis

scholarly journals KINEMATICS OF THE V MECHANISM USED FORELECTRIC SWITCHERS BASED ON SPECIALISED SOFTWARE

2016 ◽  
Vol 21 (3) ◽  
Author(s):  
ANTONESCU PĂUN ◽  
UNGUREANU LIVIU-MARIAN ◽  
BREZEANU COSTANTIN
Keyword(s):  
Graphical Analysis ◽  
Geometrical Analysis ◽  
Analysis Software ◽  
Graphical Modeling ◽  
Modeling And Analysis ◽  
Doctoral Thesis ◽  
Synthesis Of Mechanisms ◽  
Analysis And Synthesis ◽  
The Mathematical Model ◽  
Mechanism Kinematic

This paper is representing a continuing research of the doctoral thesis "Geometrical analysis and synthesis of mechanisms in the electrotechnical field". Using two Mathcad programs as mathematics analysis software and Solidworks as graphical analysis software it is dimensioned the new kinematics scheme of the high voltage V mechanism. Kinematic analysis is based on the mathematical model presented in the doctoral thesis mentioned above and graphical modeling and analysis is conducted to compare and complete the research regarding the V mechanism triadic chain 5R + T type.

A Quadratic Form-Based Approach to Identification of Kinematic Chains in Structural Analysis and Synthesis of Mechanisms

2001 ◽  
Author(s):  
Peiren He ◽  
Wenjun Zhang ◽  
Qing Li
Keyword(s):  
Structural Analysis ◽  
Quadratic Form ◽  
Test Cases ◽  
Eigenvalues And Eigenvectors ◽  
New Approach ◽  
Kinematic Chains ◽  
Synthesis Of Mechanisms ◽  
Adjacency Matrices ◽  
Analysis And Synthesis

Abstract Identification of kinematic chains is needed when studying in structural analysis and synthesis of mechanisms. Research on detection of isomorphism in graphs/kinematic chains has a long history. Many algorithms or methods have been proposed. However, these methods have only achieved success in restricted conditions. This paper proposes a new approach using the concept of quadratic form. Graphs/kinematic chains are first represented by their adjacency matrices, the eigenvalues and their eigenvectors corresponding to these adjacency matrices are then calculated. Two graphs are represented by two quadratic expressions. The comparison of two graphs reduces to the comparison of two quadratic expressions. Quadratic expressions are characterized by the eigenvalues and eigenvectors. An algorithm is developed to compare, correspondingly, eigenvalues and eigenvectors of two graphs, known test cases are used to verify the effectiveness of the approach.

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