Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Transverse Vibration of Plates
The theory of elastic plates is an approximation of the three‐dimensional elasticity theory to two dimensions, which permits a description of the deformation of every point in the plate in terms of only the deformation of the midplane of the plate. This chapter derives the equations of motion of plates using the thin plate theory as well as the Mindlin theory, which considers the effects of rotary inertia and shear deformation. It considers free and forced vibration of rectangular and circular plates, and outlines the vibration of plates with variable thickness, of plates on elastic foundation, and of plates subjected to in‐plane loads. The small deflection theory of thin plates, called classical plate theory or the Kirchhoff theory, is based on assumptions similar to those used in thin beam or Euler‐Bernoulli beam theory. The chapter also derives the equation of motion governing the transverse vibration of a plate subjected to in‐plane loads using the equilibrium approach.
Transverse Vibration of Plates
The theory of elastic plates is an approximation of the three‐dimensional elasticity theory to two dimensions, which permits a description of the deformation of every point in the plate in terms of only the deformation of the midplane of the plate. This chapter derives the equations of motion of plates using the thin plate theory as well as the Mindlin theory, which considers the effects of rotary inertia and shear deformation. It considers free and forced vibration of rectangular and circular plates, and outlines the vibration of plates with variable thickness, of plates on elastic foundation, and of plates subjected to in‐plane loads. The small deflection theory of thin plates, called classical plate theory or the Kirchhoff theory, is based on assumptions similar to those used in thin beam or Euler‐Bernoulli beam theory. The chapter also derives the equation of motion governing the transverse vibration of a plate subjected to in‐plane loads using the equilibrium approach.
Transverse Vibration of Plates
Rao, Singiresu S. (Autor:in)
Vibration of Continuous Systems ; 465-548
06.03.2019
84 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
Transverse Vibration of Thick Annular Sector Plates.
| Online Contents | 1993
| Wiley | 2019
Transverse Vibration of Strings
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Transverse shearing stress in rectangular plates
| Engineering Index Backfile | 1968