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胡海昌. 薄板弯曲理论中一个新的广义变分原理及其交替max,min性质[J]. 力学学报, 1990, 22(4): 392-401. DOI: 10.6052/0459-1879-1990-4-1995-962
引用本文: 胡海昌. 薄板弯曲理论中一个新的广义变分原理及其交替max,min性质[J]. 力学学报, 1990, 22(4): 392-401. DOI: 10.6052/0459-1879-1990-4-1995-962
A NEW GENERALIZED VARIATIONAL PRINCIPLE AND ITS max,min PROPERTY IN THIN PLATE THEORY[J]. Chinese Journal of Theoretical and Applied Mechanics, 1990, 22(4): 392-401. DOI: 10.6052/0459-1879-1990-4-1995-962
Citation: A NEW GENERALIZED VARIATIONAL PRINCIPLE AND ITS max,min PROPERTY IN THIN PLATE THEORY[J]. Chinese Journal of Theoretical and Applied Mechanics, 1990, 22(4): 392-401. DOI: 10.6052/0459-1879-1990-4-1995-962

薄板弯曲理论中一个新的广义变分原理及其交替max,min性质

A NEW GENERALIZED VARIATIONAL PRINCIPLE AND ITS max,min PROPERTY IN THIN PLATE THEORY

  • 摘要: 本文在薄板弯曲的经典理论中提出一个以挠度、横向剪应变、曲率、弯矩、横向剪力、边界上的未知反力为自变函数的新的变分原理,在对自变函数预加不严厉的约束后,新泛函具有一连串交替max,min的性质。

     

    Abstract: A new generalized variational principle in classical thin plate theory is proposed with deflection, transverse shear deformation, curvature, internal moment, transverse shearing force and unknown boundary reaction as argument functions. By applying slight restrictions to the argument functions, the new functional possesses the property of consecutive alternate max min.

     

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