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On buckling critical state of a circular plate subjected to united heat and lateral pressure

机译:受热与侧向压力共同作用的圆板屈曲临界状态

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Based on the series solution of large deflection of a circular plate subjected to combined heat and lateral pressure obtained by using the Galerlan's method, the buckling critical condition of the plate was derived. By uniting the system of equations in terms of the coefficients in the solution with the critical condition, the curves of both the critical deflection and critical lateral pressure versus the critical temperature rise were analytically calculated for the case that both the pressure and the temperature rise were radial uniform. Meanwhile, the corresponding curves were computed numerically by using the software ANSYS. The relational curves indicate that both the critical deflection and critical lateral pressure nonlinearly increase with the critical temperature rise. The comparison of the present analytical results with the present FEM ones as wett as the previous related ones shows that the present analytical results are reasonable.
机译:基于利用加勒兰方法获得的热与侧向压力相结合的圆形板大挠度的级数解,得出了板的屈曲临界条件。通过将方程组根据溶液中的系数与临界条件结合起来,对于压力和温度均上升的情况,分析得出了临界挠度和临界侧压力与临界温升的关系曲线。径向均匀。同时,使用软件ANSYS对相应的曲线进行数值计算。关系曲线表明,临界挠度和临界侧向压力都随着临界温度的升高而非线性增加。将当前的分析结果与现有的有限元分析结果进行比较(与以前的相关结果相比较)表明,当前的分析结果是合理的。

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