One-Dimensional Fourth-Order Equation

Prem K. Kythe and Dongming Wei
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Prem K. Kythe: University of New Orleans, Department of Mathematics
Dongming Wei: University of New Orleans, Department of Mathematics

Chapter 4 in An Introduction to Linear and Nonlinear Finite Element Analysis, 2004, pp 75-88 from Springer

Abstract: Abstract For problems involving beams with different types of supports and boundary conditions we use the Euler-Bernoulli beam theory. The governing equation for the transverse deflection u of a beam of length L is 4.1 $$ \frac{{d^2 }} {{dx^2 }}\left( {b\frac{{d^{^2 } }} {{dx^{^2 } }}} \right) = f(x), 0

Date: 2004
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DOI: 10.1007/978-0-8176-8160-9_4

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