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首页> 外文期刊>Journal of thermal stresses >QUASI-STATIC THERMAL DEFLECTION OF A THIN CLAMPED CIRCULAR PLATE DUE TO HEAT GENERATION
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QUASI-STATIC THERMAL DEFLECTION OF A THIN CLAMPED CIRCULAR PLATE DUE TO HEAT GENERATION

机译：产生热量的薄夹层圆板的准静态热变形

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摘要

This paper deals with the determination of thermal deflection in a thin clamped circular plate defined as 0 ≤ r ≤ b; 0 ≤ z ≤ h due to internal heat generation within it. A thin clamped circular plate is considered having arbitrary initial temperature and subjected to time dependent heat flux at the fixed circular boundary (r = b). The lower surface (z = 0) is at zero temperature whereas upper surface (z = h) is thermally insulated. The governing heat conduction equation has been solved by using integral transform technique. The edge of the circular plate is fixed and clamped ω-partial deriv_ω/partial deriv_r=0 at r = b. The results are obtained in series form in terms of Bessel's functions. As a special case different metallic plates have been considered and the results for thermal deflection have been computed numerically and are illustrated graphically.
机译：本文讨论了确定为0≤r≤b的薄夹圆板中的热变形的确定。 0≤z≤h是由于内部产生的热量。薄的圆形夹板被认为具有任意的初始温度，并且在固定的圆形边界处（r = b）受到时间依赖性的热通量。下表面（z = 0）处于零温度，而上表面（z = h）是隔热的。控制热传导方程已通过使用积分变换技术求解。圆板的边缘固定并固定在r = b时ω-partialderiv_ω/ partial deriv_r = 0。结果是根据Bessel函数以串联形式获得的。作为一种特殊情况，已经考虑了不同的金属板，并且热变形的结果已通过数值计算并以图形方式显示。

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