Abstract
We investigated the natural oscillations of dissipative inhomogeneous plate mechanical systems with point connections. Based on the principle of virtual displacements, we equate to zero the sum of all active work force, including the force of inertia which obtain equations vibrations of mechanical systems. Frequency equation is solved numerically by the method of Muller. According to the result of numerical analysis we established nonmonotonic dependence damping coefficients of the system parameters.
Highlights
Studies related to the definition of inherent characteristics of plates with attached masses are discussed in [1]-[3]
Various mounting and mass concentration of the plate limits the scope of application of this approach
The frequency of the corresponding forms at the same time remain constant [7], and in this sense the dissipative system can be studied as a system that has its own vibrations
Summary
Studies related to the definition of inherent characteristics of plates with attached masses are discussed in [1]-[3]. In these studies, to determine the main forms and vibration frequencies a variational principle of HamiltonOstrogradskii is applied. The frequency of the corresponding forms at the same time remain constant [7], and in this sense the dissipative system can be studied as a system that has its own vibrations. In this paper we consider the linear problem of natural vibrations of viscoelastic rectangular plates (2014) Natural Oscillations of Viscoelastic Lamellar Mechanical Systems with Point Communications. Ξ©ngr in final number of points communications of kinematic and dynamic character are imposed: dot rigid, elastic and (or) viscoelastic hinged type of a support (rigid support can be jammed), the rigid elastic and (or) viscoelastic shock-absorbers connecting bodies (at N > 1 ), the concentrated masses
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