A Dynamic Model of a Reinforced Thin Plate With Ribs of Finite Width

Abstract

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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Document Details

Document Type
Technical Report
Publication Date
Aug 30, 2010
Accession Number
ADA532195

Entities

People

  • Andrew John Hull
  • Jaclyn E. Sylvia

Organizations

  • Naval Undersea Warfare Center

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Displacement
  • Equations
  • Exponential Functions
  • Finite Element Analysis
  • Fourier Series
  • Frequency Domain
  • Functions (Mathematics)
  • Identities
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • Modulus Of Elasticity
  • Signal Processing
  • Step Functions
  • Technical Information Centers
  • Undersea Warfare

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Dynamics.

Technology Areas

  • Space