关于圆柱壳定解方程的通解问题
On the General Solution of Cylindrical Shell Equations
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Abstract: It is proved mathematically in this paper that the strain-stress function F(ξ φ)on the cylindrical shell theory suggested by Vlasov [5] will give out the general solution of the simultaneous partial differential equations of cylindrical shell problem. That is to say. there is no any solution Of the simultaneous partial differential equations can be omitted due to Vlasov's suggestion. The conclusion suggested in this paper is helpful to the well-known Vlasov's method.
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Key words:
- cylindrical shell /
- general solution /
- partial differential equation
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[1] A.E.H.Love,A Treatise orr the Mathematical Theory of Elasticity,4th Ed.(1927). [2] W.Z.Chien,The intrinsic theory of thin shells and plates,Part I,General theory,Quarterly of Applied Mathenratics,1,4(1944),297-327. [3] H.Reissner,Formanderung and spannungen einer dunnwandigen an den Randern frei aufliegenden,beliebig belasteten Zylinderschale,Z.Angew Math.and Mech.,13(1933),133. [4] L.H.Donnell,Stability of Thin-Walled Tubes under Torsion,NACA TR 479(1933). [5] В.З.Власов,Общая Теорца Оболочек ц Ее Прцпоженця в Технцке,Гостехиздат(1949) [6] Timoshenko and S.Woninowshy-Krieger,Theory of Plates and Shells,2nd Ed.,McGraw-Hill(1959). [7] 薛大为《板壳理论》,北京工业学院出版社(1988).
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