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<p>The forced vibrations of three-layer orthotropic plates under periodic tangential impacts are studied on the basis of the dynamic equations of 3D problems of theory of elasticity. For solving such type of problems, the hypotheses of the classical and refined theories of plates and shells are not applicable. An asymptotic solution to the problem is found and the conditions for the occurrence of resonance are established. The problem, in particular, models the behavior of base-foundations of structures under seismic impacts. It is shown that of all the components of the stress tensor and displacement vector, the leading role is played by the tangential ones. Cases are indicated when solution becomes mathematically exact. By the optimizing parameters of particular layers, the occurrence of resonance can be eliminated.</p>

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On Character of Forced Vibrations of Three-Layer Plates Under Tangential Periodic Influences

  • 期刊论文

  • 发表日期：

    2025年5月1日

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  • L. A. Aghalovyan,
  • M. L. Aghalovyan,
  • A. B. Tovmasyan

摘要

The forced vibrations of three-layer orthotropic plates under periodic tangential impacts are studied on the basis of the dynamic equations of 3D problems of theory of elasticity. For solving such type of problems, the hypotheses of the classical and refined theories of plates and shells are not applicable. An asymptotic solution to the problem is found and the conditions for the occurrence of resonance are established. The problem, in particular, models the behavior of base-foundations of structures under seismic impacts. It is shown that of all the components of the stress tensor and displacement vector, the leading role is played by the tangential ones. Cases are indicated when solution becomes mathematically exact. By the optimizing parameters of particular layers, the occurrence of resonance can be eliminated.