Method for analyzing vibration in structural surface of rectangular plate under non-uniform elastic constrained boundary condition
A technology of elastic constraints and boundary conditions, applied in the direction of complex mathematical operations, etc., can solve problems such as inability to solve boundary constraints, springs satisfying non-uniform distribution, etc.
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[0045] The present invention is described in more detail below in conjunction with accompanying drawing example:
[0046] to combine figure 1 ~4, the present invention comprises following flow process:
[0047] (1) The non-uniform in-plane constrained linear spring stiffness is expanded using Fourier series:
[0048] Let the length of a rectangular plate structure in the x-y plane of the Cartesian coordinate system be l x , with a width of l y , there are two sets of linear springs distributed on each boundary, which constrain the normal displacement and tangential displacement respectively. On the y=0 boundary, the normal and tangential linear spring stiffnesses are respectively denoted by k ny0 (x) and k py0 (x) to represent; at y=l y On the boundary, the normal and tangential linear spring stiffnesses are respectively denoted by k ny1 (x) and k py1 (x) to represent; on the x=0 boundary, the normal and tangential linear spring stiffnesses are respectively denoted by k...
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