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Titlebook: Vibrations of Continuous Systems; Theory and Applicati Eberhard Brommundt Book 1969 Springer-Verlag Wien 1969 Vibrations.engineering.mechan

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Other forms of the equations of motion for linear, finite systems,
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Separation of variables; boundary value problem; eigenvalue problem,
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Continuous systems,The particle P is denoted by the Lagrangian coordinates.which may be interpreted as its(curvilinear)coordinates in a certain reference configuration of the body. (Unique notation, continuously differentiable → no cracks, etc.)
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Methods to calculate eigenvalues of conservative systems,Separation of variables, cf. sect. 5. 1, transforms the equations of motion of section 2 into.where L and . may be matrices and U may be a vector, e. g., in sect. 2. 23.
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Equations of motion for (nonlinear) nonconservative systems,Differential equations and boundary conditions can be established as in section 2. 1. Nonlinear terms arise from geometrical nonlinearities and from nonlinear constitutional equations.
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