This study delves into the dynamic behavior of a beam, employing a fourth-order transverse equation featuring constants like elastic modulus and moment of inertia, and variables such as linear mass density and an applied load expressed as a function of transverse displacement. Our proposed numerical approach utilizes a B-spline-derived basis, ensures meticulous treatment of boundary conditions, and incorporates a higher-order difference scheme. Numerical examples highlight the approach’s versatility and effectiveness, surpassing conventional benchmarks. This study converges mathematical rigor with engineering applicability, offering a comprehensive exploration of dynamic structural analysis.

B-Spline Collocation Method for the Fourth-Order Dynamic Beam Equation

Villecco F.
2024-01-01

Abstract

This study delves into the dynamic behavior of a beam, employing a fourth-order transverse equation featuring constants like elastic modulus and moment of inertia, and variables such as linear mass density and an applied load expressed as a function of transverse displacement. Our proposed numerical approach utilizes a B-spline-derived basis, ensures meticulous treatment of boundary conditions, and incorporates a higher-order difference scheme. Numerical examples highlight the approach’s versatility and effectiveness, surpassing conventional benchmarks. This study converges mathematical rigor with engineering applicability, offering a comprehensive exploration of dynamic structural analysis.
2024
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/4886295
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