Natural Oscillations of Viscoelastic Lamellar Mechanical Systems with Point Communications

• 作者: Madjidov Maqsud Safarov Ismail Ibrahimovich Teshaev Muhsin Hudoyberdievich
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Plate VISCOELASTIC Properties NATURAL Frequencies Damping Ratios Structurally HOMOGENEOUS and Structurally Heterogeneous
• 年，卷（期）: 2014,（19）
• 页码范围: 3018-3025
• 页数: 8页
• 分类号: O1

摘要

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.