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Assumed Modes Method is introduced to describe the deformation of flexible beam.
The Assumed Modes Method is used to obtain the governing equations of motion.
The Lagrangian dynamics in conjunction with the assumed modes method is utilized to derive directly the equivalent temporal equations of motion.
Lagrangian dynamics in conjunction with the assumed modes method is utilized to derive, directly, the non-linear equivalent temporal equations of motion.
Due to difficulties in finding an analytical solution, the assumed modes method is utilized to obtain an approximate solution to the problem.
A method to compute the non-stationary time and frequency response of structures with a frequency-dependent non-proportional linear damping, called the resonance modes method, is presented in this paper.
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The assumed modes method was used to convert the original continuous column to a lumped one.
Hamilton's principle and the assumed modes method are used to formulate the equation of motion which is then solved by the numerical method because of the high nonlinearity.
The assumed-modes method is used to formulate the equations of motion of the plate and the rib separately.
Assumed-modes method is used to solve the equation with obtained frequency response functions at different beam locations, which are further used for the calculation of its radiated sound power into half free-space by using Rayleigh's integral.
The assumed-modes method is applied to formulate the equations of motion, and the natural frequencies of the system are found by solving for the roots of a given characteristic determinant.
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