Abstract

The analysis of free vibrations of a thermoelastic hollow sphere with voids is investigated under dual-phase-lag generalized thermoelasticity and Erigen’s nonlocal elasticity. By implementing the stress-free thermal boundary conditions, the frequency relation is obtained for possible modes in a compact form. Numerical iteration technique with the help of MATLAB is used for generating numerical data to determine free vibrations. The analytical results are presented graphically with the help of numerical computations and simulations. At the end, the frequency shift, and the thermoelastic damping with and without voids are presented graphically for various cases of interest and analyzed the results.

摘要

在双相滞后广义热弹性和Erigen的非局部弹性下研究了具有空隙的热弹性空心球的自由振动分析。通过实施无应力热边界条件，以紧凑形式获得可能模式的频率关系。借助 MATLAB 的数值迭代技术用于生成数值数据以确定自由振动。分析结果在数值计算和模拟的帮助下以图形方式呈现。最后，针对各种感兴趣的情况以图形方式显示了频移和带和不带空隙的热弹性阻尼，并分析了结果。