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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.