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Mode summation method is used to solve the beam dynamics equation.
The problem of dynamic stability was solved by applying the mode summation method.
Then with the generalized force (33), one can solve the beam equation using the mode summation method (22).
Normal mode summation method is used to analyze the transient structural vibration, for various impact speeds, deadrise angles, end fixities, and axial loads on the beam.
The governing equations of motion are derived using the mode summation method, generalized orthogonality condition, and multiple scales method for both free and forced vibrations.
After formulation of the problem, the optimum specifications of the absorber such as spring stiffness, absorber mass and its position are determined using an algorithm based on the mode summation method.
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In this paper, the Timoshenko beam model and mode-summation method are used to analyze the dynamic response of the lead zirconate titanate (PZT) stator tube of the CUSM under external excitation.
A linear acoustic theory including the effects of evanescent modes and source rotation is formulated based on the modal summation method, which is the underlying theory for the inverse source reconstruction.
This approximate representation is compared to that obtained by a modal summation method and good agreement between both approaches is obtained for cases in which at least eight modes are resonant in a frequency band.
The modal summation method to compute synthetic seismograms is applied to carry out a study of seismic zonation in Albania.
Static condensation and a modal summation method are applied to reduce the number of degrees of freedom.
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