Nonlinear Analysis of Plate and Shell Vibrations,
OHIO STATE UNIV COLUMBUS DEPT OF ENGINEERING MECHANICS
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The subject of nonlinear vibrations has always been a difficult one. The primary difficulty lies in the solution of governing equations of motion which are nonlinear differential equations. Solution characteristics such as existence, uniqueness and superposition, which are taken for granted in linear vibration problems, are not guaranteed. Often the physical problem itself, including experiment, must be relied upon to suggest a reasonable nonlinear solution which is typically not exact, but approximate.