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Free vibration of thick generally laminated quadrilateral plates with point supports
Free vibration of generally laminated plates having point supports is studied via the Rayleigh/Ritz method. Chebychev polynomials are chosen as the trial functions and essential boundary conditions along the edges are imposed by means of appropriate artificial springs. This allows for the edges of the plate to be free, simply-supported, or clamped. Point and line supports are also approximated by the use of fictitious springs. The First-Order Shear Deformation Theory is utilized in the development of the equations of motion, along with the linear stress/strain relationship. Verification of the method is carried out through comparison to published results. After the method is verified, a brief study of generally laminated plates having point supports plates is carried out. The method developed is simple and efficient, making it perfectly suited to applications which require multiple calculations, such as optimization.
Free vibration of thick generally laminated quadrilateral plates with point supports
Free vibration of generally laminated plates having point supports is studied via the Rayleigh/Ritz method. Chebychev polynomials are chosen as the trial functions and essential boundary conditions along the edges are imposed by means of appropriate artificial springs. This allows for the edges of the plate to be free, simply-supported, or clamped. Point and line supports are also approximated by the use of fictitious springs. The First-Order Shear Deformation Theory is utilized in the development of the equations of motion, along with the linear stress/strain relationship. Verification of the method is carried out through comparison to published results. After the method is verified, a brief study of generally laminated plates having point supports plates is carried out. The method developed is simple and efficient, making it perfectly suited to applications which require multiple calculations, such as optimization.
Free vibration of thick generally laminated quadrilateral plates with point supports
Ungedämpfte Schwingungen von herkömmlich laminierten, dicken, vierseitigen Platten mit Punktlagerung
Lovejoy, A.E. (author) / Kapania, R.K. (author)
1996
11 Seiten, 7 Bilder, 17 Tabellen, 27 Quellen
Conference paper
English
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