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AssigneeSuzhou University of Science and Technology
InventorsSiyuan Bao, Jing Zhou
Estimating the term…
A displacement spring and a rotational spring are arranged on both ends of the multi-segment continuous beam to simulate arbitrary boundary conditions, and a lateral displacement function of the multi-segment continuous beam over a whole segment is constructed. A strain energy, an elastic potential energy of simulated springs at a boundary, a maximum value of a kinetic energy, and a Lagrangian function of the multi-segment continuous beam are calculated. The improved Fourier series of the displacement function is substituted into the Lagrange function. An extreme value of each undetermined coefficient in the improved Fourier series in the Lagrangian function is taken to obtain a system of homogeneous linear equations which is further converted into a matrix. An eigenvalue problem of the standard matrix is solved for to obtain the natural frequency.
A method for calculation of a natural frequency of a multi-segment continuous beam, comprising:
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