压力容器中锥壳-圆柱壳连接结构的分析设计方法(一)
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摘要
我国压力容器标准GB 150—2011和行业标准JB 4732—1995基于薄壳理论的简单边界效应解给出了锥壳大端或小端与圆柱壳相连接结构的设计方法,其适用范围限于锥壳较长的结构;对锥壳变径段较短、两端边缘效应互相耦合的结构,仅在JB 4732—1995的附录A中给出了应力分析方法,未给出具体设计方法。基于弹性薄壳理论,给出了承受内压的圆柱壳-锥壳-圆柱壳的精确解,其结果与有限元解在所有几何参数范围内均吻合很好。根据改进的设计准则提出了各种参数下(包括短锥壳变径段)基于锥壳精确解的设计方法;对圆柱壳-锥壳-圆柱壳连接处的形式提出建议与设计方法,使锥壳半顶角扩大至60°时,二者之间仍可不带折边过渡段。
The design method for the cone jointed with the cylinder at large or small end is given in the Chinese national pressure vessel standard GB 150—2011 and industry standard JB 4732—1995 based on simple boundary effect of the thin-shell theory,which is suitable for the long conical shell. For the structures of short conical transitions with the edge effects of both ends coupled to each other,the stress analysis method is given only in the Appendix A of JB 4732—1995,but no available specific design method is given for this type of structure. The exact solutions to stress analysis based on the thin-shell theory for the cylinder-cone-cylinder under the internal pressure p are given,which agree well with the solutions of finite element method within the range of all practical geometric parameters. According to the improved design criteria,the design methods are proposed based on the exact solution of stress analysis for the structures of the cylinder-cone-cylinder including the short conical transitions. Suggestions and design methods are proposed for the joint structure of the cylinder-cone-cylinder,and when the scope of application of the design method for the joint without transition knuckle is broadened to a half apex angle 60° of the cone.
The design method for the cone jointed with the cylinder at large or small end is given in the Chinese national pressure vessel standard GB 150—2011 and industry standard JB 4732—1995 based on simple boundary effect of the thin-shell theory,which is suitable for the long conical shell. For the structures of short conical transitions with the edge effects of both ends coupled to each other,the stress analysis method is given only in the Appendix A of JB 4732—1995,but no available specific design method is given for this type of structure. The exact solutions to stress analysis based on the thin-shell theory for the cylinder-cone-cylinder under the internal pressure p are given,which agree well with the solutions of finite element method within the range of all practical geometric parameters. According to the improved design criteria,the design methods are proposed based on the exact solution of stress analysis for the structures of the cylinder-cone-cylinder including the short conical transitions. Suggestions and design methods are proposed for the joint structure of the cylinder-cone-cylinder,and when the scope of application of the design method for the joint without transition knuckle is broadened to a half apex angle 60° of the cone.
引文
[1]压力容器第3部分:设计:GB 150.3-2011[S].
[2]钢制压力容器---分析设计标准(2005年确认):JB 4732-1995[S].
[3]薛明德.与圆柱壳相连接的锥壳小端应力分析与设计方法[J].压力容器,1990,7(1):26-32.
[4][美]铁摩辛柯S,沃诺斯基S.板壳理论[M].北京:科学出版社,1977.
[5]黄克智,夏之熙,薛明德,等.板壳理论[M].北京:清华大学出版社,1987.
[6]王竹溪,郭敦仁.特殊函数概论[M].北京:北京大学出版社,2010.
[7]ASME Boiler and Pressure Vessel Code:SectionⅧDivision 2[S].Two Park Avenue,New York,USA.2017:213-215.
[8]Galletly G D.Torispherical shells-a caution to designers[J].Journal of Engineering for Industry,1959,81(1):51-66.
[9]Thurston C A,Holston A A.Buckling of cylindrical end-closures by internal pressure[R].NASA Report CR-540,1966.
[10]Galletly G D,BIachut J.Torispherical shells under internal pressure-failure due to asymmetric plastic buckling or axisymmetric yielding[J].Proceedings of the Institution of Mechanical Engineers,Part C:Journal of Mechanical Engineering Science,1985,199(3):225-238.
[11]Schmidt H,Krysik R.Towards recommendations for shell stability design by means of numerically determined buckling loads[C]//Jullien J F.Buckling of Shell Structures,on Land,in the Sea and in the Air.London and New York,2005:508-519.
[2]钢制压力容器---分析设计标准(2005年确认):JB 4732-1995[S].
[3]薛明德.与圆柱壳相连接的锥壳小端应力分析与设计方法[J].压力容器,1990,7(1):26-32.
[4][美]铁摩辛柯S,沃诺斯基S.板壳理论[M].北京:科学出版社,1977.
[5]黄克智,夏之熙,薛明德,等.板壳理论[M].北京:清华大学出版社,1987.
[6]王竹溪,郭敦仁.特殊函数概论[M].北京:北京大学出版社,2010.
[7]ASME Boiler and Pressure Vessel Code:SectionⅧDivision 2[S].Two Park Avenue,New York,USA.2017:213-215.
[8]Galletly G D.Torispherical shells-a caution to designers[J].Journal of Engineering for Industry,1959,81(1):51-66.
[9]Thurston C A,Holston A A.Buckling of cylindrical end-closures by internal pressure[R].NASA Report CR-540,1966.
[10]Galletly G D,BIachut J.Torispherical shells under internal pressure-failure due to asymmetric plastic buckling or axisymmetric yielding[J].Proceedings of the Institution of Mechanical Engineers,Part C:Journal of Mechanical Engineering Science,1985,199(3):225-238.
[11]Schmidt H,Krysik R.Towards recommendations for shell stability design by means of numerically determined buckling loads[C]//Jullien J F.Buckling of Shell Structures,on Land,in the Sea and in the Air.London and New York,2005:508-519.