部分弹性梁支承板的扭转与横向耦合振动分析
Coupled Torsional and Transverse Vibration Analysis of Panels Partially Supported by Elastic Beam
摘要：
本研究提出一个太阳能电池板的扭转和横向振动分析，包括一个由弹性梁局部支撑的矩形薄板。板在所有边界上都是完全自由的，除了与梁相连的局部。系统的响应，这是受到扭转和横向振动的组合，识别与一对夫妇的Euler-Bernoulli假设和经典板理论的偏微分方程。为了计算系统的固有频率，解的域被离散为切比雪夫多项式的零点，以应用修正的广义微分求积法（MGDQ）。此外，随着连续性和边界条件的控制方程离散。在获得本征值问题的解决方案后，几项研究进行了调查，以验证所提出的方法的准确性。从表中可以得出结论，MGDQ提高了GDQ获得的结果的准确性。各种案例研究的结果表明，MGDQ是适当的设计与局部边界和连续性条件的系统的振动分析。
英文摘要：
This study presents torsional and transverse vibration analysis of a solar panel including a rectangular thin plate locally supported by an elastic beam. The plate is totally free in all boundaries, except for the local part attached to the beam. The response of the system, which is subjected to a combination of torsional and transverse vibration, identifies with a couple of PDEs developed by the Euler-Bernoulli assumption and classical plate theory. To calculate the system's natural frequencies, the domain of the solution is discretized by zeroes of the Chebyshev polynomials to apply the Modified Generalized Differential Quadrature method (MGDQ). Furthermore, governing equations along with continuity and boundary conditions are discretized. After obtaining solutions to the eigenvalue problem, several studies are investigated to validate the accuracy of the proposed method. As can be concluded from the tables, MGDQ improves the accuracy of results obtained by GDQ. Results for various case studies reveal that MGDQ is properly devised for the vibration analysis of systems with local boundary and continuity conditions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
