弹性圆柱薄壳在流体中的变形与内力分析
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摘要
应用薄壳弹性理论及流体力学基本方程,给出了圆柱壳在流体中流固耦合问题的基本关系式。阐述并应用相容拉格朗日-欧拉方法推导出流体绕壳横向流动时弹性圆柱薄壳的小弯曲变形问题的方程,并求解了流场的速度势和壳体的变形及内力分布。通过具体算例,绘出了流场分布图,讨论了有关参数变化对圆柱壳变形和表面压力系数的影响。
The basic fluid-solid interaction formulas for a shell in fluid are given using elasticity theory of thin shells and fundamental equations of fluid mechanics. The united Lagrangian-Eulerian method is proposed and used to form the equations for the small bending of a cylindrical shell with a surrounding transverse flow, and then the velocity potential of the fluid field as well as the deformation and the internal force distribution of the shell are obtained. Using a specific example, the fluid field figures are obtained, and the effects of parameters on the deformation of the shell and pressure coefficient of the shell surface are discussed.
The basic fluid-solid interaction formulas for a shell in fluid are given using elasticity theory of thin shells and fundamental equations of fluid mechanics. The united Lagrangian-Eulerian method is proposed and used to form the equations for the small bending of a cylindrical shell with a surrounding transverse flow, and then the velocity potential of the fluid field as well as the deformation and the internal force distribution of the shell are obtained. Using a specific example, the fluid field figures are obtained, and the effects of parameters on the deformation of the shell and pressure coefficient of the shell surface are discussed.
引文
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[8]ИльгамовM A.ВведениеВНелинейнуюГидроупругость[M].M.:Наука,1991.15~52.
[9]张雄,陆明万,王建军.任意拉格朗日—欧拉描述法研究进展[J].计算力学学报,1997,14(1):91~102.Zhang Xiong,Lu Mingwan,Wang Jianjun.Research progress in arbitrary Lagrangian-Eulerian method[J].Chinese Journal of Computational Mechanics,1997,14(1):91~102.(in Chinese)
[10]МуштариХМ,ГалимовКЗ.Нелинейнаятеорияупругихоболочек(I)[M].Казань:Таткнигоиздат,1957.10~52.
[11]徐芝纶.弹性力学[M].北京:高等教育出版社,1998.216~240.Xu Zhilun.Elasticity[M].Beijing:Higher Education Press,1998.216~240.(in Chinese)
[12]许维德.流体力学[M].北京:国防工业出版社,1979.122~126.Xu Weide.Fluid mechanics[M].Beijing:National Defense Press,1979.122~126.(in Chinese)
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