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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

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

  • 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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