Furthermore, by modeling the distributed added mass along the immersed part of the beam with a number of concentrated added masses, a point added mass method (PAM) incorporated with the mode-superposition approach is also presented to determine the "approximate" lowest several natural frequencies and the associated mode shapes of the last two types of immersed beam.
Since the last frequency-dependent boundary conditions significantly affect the orthogonal condition of the mode shapes and so do the applicability of the mode-superposition approach for the vibration analysis, the theory regarding the orthogonal condition for the mode shapes of the current vibrating system will be one of the key points in this paper.
This chapter proposes a seismic design method based on the approximate mode superposition (AMS) approach for building structures equipped with AVS systems.
This study introduces a novel scheme for the discrete high-frequency forced vibration analysis based on discrete singular convolution (DSC) and mode superposition (MS) approaches.
Then, the new equivalent relationship is used to revise the approximate-mode-superposition (AMS) approach for multi-degree-of-freedom (mdof) structures with AVS systems, which was previously suggested by the authors.
For transient, high frequency, and pulse like excitation of structures in the near field of strong earthquakes, the classical design approach based on relative response spectrum and mode superposition may not be conservative.
The dynamic response of the system in an unbalanced condition is approached by the direct integration method and mode superposition method.
In theory, the mode superposition method is correct only if the total number of modes considered approaches infinity, however, numerical results of this paper reveal that superposition of only the lowest six modes will yield excellent results to be very close to the corresponding ones obtained from the conventional FEM.
The acceleration of the beam is obtained by the mode superposition method.
This paper presents a novel object-oriented implementation of component mode synthesis and mode superposition for dynamic finite element analysis.
Time-domain responses of the panel are computed by the mode superposition method using the mode shapes obtained previously.
