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The acceleration of the beam is obtained by the mode superposition method.
Finally time response of displacement components is derived by mode superposition method.
The formulation of STL is obtained by using the mode superposition method.
These methods are mode superposition method and expressing governing equations in state space format.
The plate vibration response is obtained by a pseudo-load mode superposition method.
Following the free vibration analysis, uncoupled stiffness, damping and mass matrices have been found employing the mode superposition method.
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The proposed method uses evanescent waves, not considered in previous mode superposition methods, as well as standing waves as basis functions because of discontinuity in the cross-sectional area of a cavity and a neck.
The simple wave approach to the solution of the problem with a comparatively small computational effort is well justified for the analysis of vibration of a large number of panels for which exact methods, finite element techniques and normal mode superposition methods involve voluminous computation.
These properties can be used in conjunction with any suitable dynamic analysis procedure based on the mode-superposition method.
Dogangun and Livaoglu (2006) examined the differences in results from equivalent seismic load method, mode-superposition method, and analysis method in time domain.
Because the performance of structures with AVS systems exhibits strong nonlinearity, the classical dynamic analysis method for linear structures, such as the mode-superposition method, is not applicable to structures with AVS systems.
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