Comments on «further remarks on the principle of virtual power»

1974 ◽  
Vol 10 (6) ◽  
pp. 222-226 ◽  
Author(s):  
H. A. Haus ◽  
J. A. Kong ◽  
P. Penfield
Keyword(s):  
Virtual Power ◽  
Principle Of Virtual Power

A new principle of virtual power for elastoplasticity mechanics

2016 ◽  
pp. 247-251
Author(s):  
Neng-Zhong Lei ◽  
Ie-Lung Chung ◽  
Yih-Hsing Pao
Keyword(s):  
Virtual Power ◽  
Principle Of Virtual Power

Principle of Virtual Power for thermomechanics of fluids and solids with dissipation

2011 ◽  
Vol 49 (12) ◽  
pp. 1502-1516 ◽  
Author(s):  
Yih-Hsing Pao ◽  
Li-Sheng Wang ◽  
Kuo-Ching Chen
Keyword(s):  
Virtual Power ◽  
Principle Of Virtual Power

On the Chu-Haus-Penfield principle of virtual power

1973 ◽  
Vol 6 (8) ◽  
pp. 305-306 ◽  
Author(s):  
G. Cavalleri
Keyword(s):  
Virtual Power ◽  
Principle Of Virtual Power

Unified Approach for Holonomic and Nonholonomic Systems Based on the Modified Hamilton’s Principle

2009 ◽  
Author(s):  
Keisuke Kamiya ◽  
Junya Morita ◽  
Yutaka Mizoguchi ◽  
Tatsuya Matsunaga
Keyword(s):  
Equations Of Motion ◽  
Time Derivative ◽  
Nonholonomic Systems ◽  
Hamilton’S Principle ◽  
Virtual Power ◽  
Unified Approach ◽  
Hamilton's Principle ◽  
Basic Principles ◽  
Principle Of Virtual Power ◽  
Holonomic And Nonholonomic Systems

As basic principles for deriving the equations of motion for dynamical systems, there are d’Alembert’s principle and the principle of virtual power. From the former Hamilton’s principle and Langage’s equations are derived, which are powerful tool for deriving the equation of motion of mechanical systems since they can give the equations of motion from the scalar energy quantities. When Hamilton’s principle is applied to nonholonomic systems, however, care has to be taken. In this paper, a unified approach for holonomic and nonholonomic systems is discussed based on the modified Hamilton’s principle. In the present approach, constraints for both of the holonomic and nonholonomic systems are expressed in terms of time derivative of the position, and their variations are treated similarly to the principle of virtual power, i.e. time and position are fixed in operation with respect to the variations. The approach is applied to a holonomic and a simple nonholonomic systems.

Damage, gradient of damage and principle of virtual power

1996 ◽  
Vol 33 (8) ◽  
pp. 1083-1103 ◽  
Author(s):  
Michel Frémond ◽  
Boumediene Nedjar
Keyword(s):  
Virtual Power ◽  
Principle Of Virtual Power
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