双曲线冷却塔的动力分析
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摘要
轴对称半解析环元法是求解双曲线冷却塔动力问题的有力工具,但冷却塔体下部的柱支撑与上部半解析环元的连接是分析过程中一个困难的关键问题。本文利用半解析环元刚度矩阵的显式结果,采用刚度等效的工程方法,直接将柱支撑等效为一个旋转薄壳环元,给出了该环元的等效厚度计算公式。计算结果表明,这种等效简便、合理,可用于工程实际。
This paper presents the explicit expressions of stiffness and mass matrices of finite ring elements for axisymmetric thin shell. Based on the explicit expressions a equivalent thin shell finite ring element of supporting columns of hyperbolic cooling towers is proposed by using equivalent stiffness method. The formula of the thickness of equivalent finite ring element and formulas of internal forces of supporting columns are given. Comparisons of calculational natural frequencies of a practical hyperbolic cooling tower by the equivalent method with those by other comprehensive method and SAP5 program show that the equivalent method has good accuracy and less analytical and numerical efforts.
This paper presents the explicit expressions of stiffness and mass matrices of finite ring elements for axisymmetric thin shell. Based on the explicit expressions a equivalent thin shell finite ring element of supporting columns of hyperbolic cooling towers is proposed by using equivalent stiffness method. The formula of the thickness of equivalent finite ring element and formulas of internal forces of supporting columns are given. Comparisons of calculational natural frequencies of a practical hyperbolic cooling tower by the equivalent method with those by other comprehensive method and SAP5 program show that the equivalent method has good accuracy and less analytical and numerical efforts.
引文
[1] Gould, P. L.,Bending of Hyperbolic Cooling Towers, ASCE, Vol. 93, No. ST3,1967．
[2] Abu-Sitta,S. H.,Cooling Towers Supported on Columns,ASCE Vol. 96． No. ST12,1970．
[3] Subir,K. San.,Hyperboloidal Shells on Discrete Supports,ASCE,Vol. 99,No. STS, 1973．
[4] 北京大学固体力学教研室,旋转壳的应力分析,水力电力出版社,1979年。
[5] 江近仁、赵衍刚、孙爱荣,核电厂安全壳的可靠性分析,国家地震局工程力学研究所研究报告,1990年7月。
[6] 赵衍刚、江近仁,简承式筒仓的模型实验及动力分析,第三层全国地震工程会议论文集Ⅲ,1990年10月13日-17日,大连。
[7] 赵衍刚,旋转薄壳半解析环元的刚度阵显式,哈尔滨工业大学学报,1990年,增刊。
[2] Abu-Sitta,S. H.,Cooling Towers Supported on Columns,ASCE Vol. 96． No. ST12,1970．
[3] Subir,K. San.,Hyperboloidal Shells on Discrete Supports,ASCE,Vol. 99,No. STS, 1973．
[4] 北京大学固体力学教研室,旋转壳的应力分析,水力电力出版社,1979年。
[5] 江近仁、赵衍刚、孙爱荣,核电厂安全壳的可靠性分析,国家地震局工程力学研究所研究报告,1990年7月。
[6] 赵衍刚、江近仁,简承式筒仓的模型实验及动力分析,第三层全国地震工程会议论文集Ⅲ,1990年10月13日-17日,大连。
[7] 赵衍刚,旋转薄壳半解析环元的刚度阵显式,哈尔滨工业大学学报,1990年,增刊。
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