Titlebook: Vibration of Discrete and Continuous Systems; A. A. Shabana Textbook 19972nd edition Springer-Verlag New York, Inc. 1997 deformation.kinem

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Lagrangian Dynamics,Another alternative for developing the system differential equations of motion from scalar quantities is the . where scalars such as the kinetic energy, strain energy, and virtual work are used. In this chapter, the use of . to formulate the dynamic differential equations of motion is discussed. The

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Multi-Degree of Freedom Systems, of degrees of freedom. Mechanical systems in general consist of structural elements which have distributed mass and elasticity. In many cases, these systems can be represented by equivalent systems which consist of some elements which are bulky solids which can be treated as rigid elements with spe

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The Finite-Element Method,e assumption that the shape of the deformation of the continuous system can be described by a set of assumed functions. By using this approach, the vibration of the continuous system which has an infinite number of degrees of freedom is described by a finite number of ordinary differential equations

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Methods for the Eigenvalue Analysis,value problem of vibration systems. Among these methods are the . and the . method. In these methods, which are based on the ., a series of transformations that convert a given matrix to a diagonal matrix which has the same eigenvalues as the original matrix are used. Not every matrix, however, is s

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