Design of Vibratory Systems with Aid of Dimensional Analysis

1980 ◽  
Vol 102 (4) ◽  
pp. 835-841 ◽  
Author(s):  
M. S. Hundal
Keyword(s):  
Computer Program ◽  
Dimensional Analysis ◽  
Dynamic Systems ◽  
Basic Theory ◽  
Degree Of Freedom ◽  
Flexible Rotor ◽  
Vibrating System ◽  
Dimensional Parameters ◽  
Two Degree Of Freedom

The paper presents the use of dimensional analysis as an aid in the design of dynamic systems. Basic theory of dimensional analysis is discussed. Two examples are given: (1) a two degree of freedom vibrating system and (2) a flexible rotor which is flexibly supported at its ends. Choice of suitable non-dimensional parameters is discussed. A digitial computer program is described which generates all of the possible sets of non-dimensional parameters for a given problem.

Synthesis of a Geared N-Bar Linkage

1971 ◽  
Vol 93 (1) ◽  
pp. 157-164 ◽  
Author(s):  
A. D. Dimarogonas ◽  
G. N. Sandor ◽  
A. G. Erdman
Keyword(s):  
Dynamic Response ◽  
Computer Program ◽  
Structural Characteristics ◽  
Degree Of Freedom ◽  
Complex Numbers ◽  
Function Generator ◽  
Matrix Methods ◽  
Loop Function ◽  
Function Generators ◽  
Two Degree Of Freedom

For certain tasks, four-bar linkages may not provide needed accuracy and/or structural characteristics. To overcome this, one or more bars may be added to the coupler with geared pairs to maintain a “one-degree-of-freedom” system. Utilizing complex numbers and matrix methods, a general geared n-bar function generator is developed in this paper. The computer program devised synthesizes four-bar linkages to approximate the desired function and increases the number of links by one if specifications for accuracy and other requirements are not met. Synthesized linkages are analyzed and then optimized by way of minimizing a multidimensional objective function. As a practical illustration of the n-bar theory, geared five-bar, one-loop function generators are designed to simulate the dynamic response of a two-degree-of-freedom vibrating system.

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