含温度载荷的管板变形的解析解

根据换热器结构形式建立了用于计算管板变形的力学模型,参考ASME Ⅷ 1计算管板的有效弹性常数，并将外筒和换热管束分别等效为会因温度和压力载荷产生轴向变形的弹簧和弹性基础.应用Ritz法建立了管板挠度的解析解，将该解析解与三个不同规模换热器的有限元分析结果进行对比.结果表明，建立的解析解与有限元分析结果吻合良好，验证了推导的管板变形解析解的正确性.研究结果对固定管板式换热器的设计有较大的指导意义.

Analytical Solution of Heat Exchanger Tubesheet Deformation Under Temperature Load

A mechanical model for calculating tubesheet deformation was established according to the structure of the heat exchanger. The effective elastic constant of the tubesheet was calculated with reference to code ASME Ⅷ-1, the outer cylinder and the heat exchange tube bundle were respectively equalized to springs and elastic foundations axially deforming due to temperature and pressure loads. An analytical solution of tubesheet deflection was obtained with the Ritz method, and compared with the numerical simulation results of 3 heat exchangers of different scales. The results show that, the analytical solution is in good agreement with the numerical simulation results, which verifies the correctness of the derived analytical solution of tubesheet deformation. The research work has guiding significance for the design of fixed tubesheet heat exchangers.