A Dynamic Model of a Reinforced Thin Plate With Ribs of Finite Width
NAVAL UNDERSEA WARFARE CENTER DIV NEWPORT RI AUTONOMOUS AND DEFENSIVE SYSTEMS DEPT
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This report derives an analytical model of a thin plate of infinite spatial extent stiffened by ribs that have a finite width. The governing equation is a flexural plate model that has an external load and is reinforced by an infinite number of equally spaced ribs. The Heaviside step function is used to load the rib forces onto the plate. A Fourier series then replaces the Heaviside step function and the equation decouples using an orthogonalization procedure. The resulting system can be represented by an infinite set of algebraic equations that are truncated to find a solution to the plate displacement. An example problem is formulated and the results are discussed.
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