Designing Self-Balanced Spatial Mechanisms

2015 ◽  
Vol 770 ◽  
pp. 328-332
Author(s):  
I.K. Bituev
Keyword(s):  
Mechanical Systems ◽  
Drive Shaft ◽  
Mutual Arrangement ◽  
Single Loop ◽  
Spatial Mechanisms ◽  
Common Drive

This paper summarises the results obtained from a study of the conditions required to achieve self-balanced mechanical systems. The design self-balanced systems composed of single-loop spatial mechanisms with a common drive shaft, is reviewed. The paper explains how the problems are solved by selecting the relative angles of the mechanism's cranks, their number and mutual arrangement. The resulting self-balancing criteria enable the construction of spatial mechanical systems with predetermined levels of residual imbalance.

Analysis of Drive Shaft Speed Variations in a Scotch Yoke Mechanism

1982 ◽  
Vol 104 (1) ◽  
pp. 239-246 ◽  
Author(s):  
J. L. Wiederrich
Keyword(s):  
Practical Importance ◽  
Drive Shaft ◽  
Constant Speed ◽  
Shaft Speed ◽  
Flexible Coupling ◽  
Harmonic Content ◽  
Common Drive ◽  
Scotch Yoke Mechanism

Two analyses are presented for determining the drive shaft speed variations in a scotch yoke mechanism. The first analysis determines the speed variations when the mechanism is rigidly connected to a motor having a quadratic speed versus torque characteristic. The second analysis determines the speed variations when the mechanism is connected to a constant speed source through a flexible coupling. Together these models represent the two most common drive configurations. The results are of practical importance since they can be used in the preliminary calculations necessary in either the design of a main drive or the diagnosis of a drive problem in an existing machine. The methods are also of theoretical importance since they may be extended to the analysis of mechanisms having a greater harmonic content than the simple scotch yoke mechanism.

scholarly journals A Transmissibility for Single-Loop Spatial Mechanisms

1978 ◽  
Vol 44 (383) ◽  
pp. 2497-2504
Author(s):  
Hiroshi SHIMOJIMA ◽  
Kiyoshi OGAWA ◽  
Toru KAWANO
Keyword(s):  
Single Loop ◽  
Spatial Mechanisms

Assembly Configurations of Spatial Single-Loop Mechanisms With Revolute, Cylindric, and Prismatic Joints

1998 ◽  
Author(s):  
David E. Foster ◽  
Raymond J. Cipra
Keyword(s):  
Single Loop ◽  
Spatial Mechanisms ◽  
Prismatic Joints ◽  
Spherical Mechanism

Abstract This paper examines the problem of identifying the assembly configurations (ACs), also called circuits, of certain spatial single-loop mechanisms. First, the spherical mechanism is considered; it is believed that such a mechanism has one AC if every pair of adjacent links can line up; otherwise, it has 2 ACs. Next, general spatial mechanisms with revolute, cylindric, and prismatic points are considered. If the mechanism has three or more sliding (cylindric or prismatic) joints, it is possible to find an equivalent spherical mechanism which has the same angular motions. However, it is also possible that at certain positions, some of the links may have to slide an infinite distance, which is not possible. Therefore, the mechanism may have more ACs than the equivalent spherical mechanism. Several examples are given, and some general conclusions are drawn.

Closed Form Displacement Relationships of Single and Multi-Loop Six-Link Spatial Mechanisms

1973 ◽  
Vol 95 (3) ◽  
pp. 709-716 ◽  
Author(s):  
A. H. Soni ◽  
R. V. Dukkipati ◽  
M. Huang
Keyword(s):  
Closed Form ◽  
Single Loop ◽  
Spatial Mechanisms

Using (3 × 3) matrices with dual elements, two loop Watt and Stephenson type six-link spatial mechanisms with one revolute and six cylinder pairs and single loop R-C-R-R-P-R, R-C-R-R-R-R six-link mechanisms are examined to obtain closed form displacement relationships between independent and dependent displacement parameters. Displacement analyses are performed to illustrate the use of these displacement relationships.

scholarly journals A Transmissibility for Single-Loop Spatial Mechanisms

1979 ◽  
Vol 22 (165) ◽  
pp. 405-411 ◽  
Author(s):  
Hiroshi SHIMOJIMA ◽  
Kiyoshi OGAWA ◽  
Toru KAWANO
Keyword(s):  
Single Loop ◽  
Spatial Mechanisms

Determining General and Overclosing Constraints in Mechanism Mobility Using Structural Finite Element Joint Freedoms

1992 ◽  
Vol 114 (3) ◽  
pp. 376-383 ◽  
Author(s):  
C. Bagci
Keyword(s):  
Finite Element ◽  
Line Element ◽  
Single Loop ◽  
Spatial Mechanisms ◽  
Finite Line ◽  
Torque Analysis ◽  
Internal Element

Article presents the most general form of the mobility equation, and primarily describes general and three types of overclosing constraints. Then, it offers a method of determining numbers of the general and overclosing constraints in single and multiloop, planar and spatial mechanisms. It makes use of the number of external joint freedoms and the number of internal element end deformations in finite line element models of the mechanisms for force and torque analysis. The number of degrees of statical indeterminacy determines the number of constraints in the mobility equation. Redundant and passive freedoms, general, and overclosing constraints are determined for several single and multiloop mechanisms, including the Sarrutt’s, Bennett’s, and Bricard’s single loop mechanisms.

A Generalized Transmission Index for Spatial Linkages

2005 ◽  
Author(s):  
Chao Chen ◽  
Jorge Angeles
Keyword(s):  
Single Loop ◽  
Spatial Mechanisms ◽  
Transmission Index ◽  
Spatial Linkages

This paper proposes a generalized transmission index for spatial mechanisms, based on the transmission index introduced by Sutherland and Roth. This index is more general and welldefined in all the cases; it matches the virtual coefficient between the transmission wrench screw and the output twist screw exactly. A method is developed to compute the transmission wrench screw in spatial single-loop linkages. We illustrate the application of this index in a RSCR linkage.

Type synthesis of spatial mechanisms on the basis of spatial single loop structural groups

1985 ◽  
Vol 20 (2) ◽  
pp. 95-101 ◽  
Author(s):  
Rasim I Alizade ◽  
E.T Hajiyev ◽  
George N Sandor
Keyword(s):  
Type Synthesis ◽  
Single Loop ◽  
Spatial Mechanisms

Dynamic Analysis of Spatial Mechanisms Using Dual Successive Screw Method and D’Alembert’s Principle

1979 ◽  
Vol 101 (4) ◽  
pp. 569-581 ◽  
Author(s):  
In-Ping J. Lee ◽  
A. H. Soni
Keyword(s):  
Dynamic Analysis ◽  
Single Loop ◽  
Spatial Mechanisms ◽  
Space Mechanisms ◽  
D'alembert's Principle

The method based on the application of the successive dual screw displacements and d’Alembert’s principle, is developed to perform kinetostatic and dynamic analysis of space mechanisms with lower kinematic pairs. The method is applied to demonstrate its usefulness in performing kinetostatic and dynamic analysis of single-loop, four-link, five-link, six-link and seven-link mechanisms with lower kinematic pairs.

scholarly journals Design Propagation in Mechanical Systems: Kinematic Analysis

1997 ◽  
Vol 119 (3) ◽  
pp. 338-345 ◽  
Author(s):  
H. Zou ◽  
K. A. Abdel-Malek ◽  
J. Y. Wang
Keyword(s):  
Graph Theory ◽  
Design Variable ◽  
Kinematic Analysis ◽  
Jacobian Matrix ◽  
Mechanical Systems ◽  
Joint Position ◽  
Closed Loops ◽  
Cartesian Space ◽  
Spatial Mechanisms ◽  
Joint Coordinates

A broadly applicable formulation for investigating design propagations in mechanisms is developed and illustrated. Analytical criteria in terms of the variations of joint position vectors and orientation matrices for planar and spatial mechanisms are presented. Mechanisms are represented using graph theory and closed loops are converted to a tree-like structure by cutting joints and introducing new constraints. The Jacobian matrix in Cartesian space is then transformed to Joint coordinates space. Two cases are considered: a pair of bodies remain connected by one joint after cutting additional joints and a pair of bodies are disconnected after cutting joints. Using this method, a designer has the ability to study the propagated effect of changing a design variable on the design. The presented formulation is validated through a numerical example of a McPherson strut suspension system. The system is analyzed and an assembled configuration is computed after a change in design.

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