A generalized mathematical model for a class of mechanical systems with lumped and distributed parameters

DOI10.3934/math.2019.3.751zbMath1484.74050OpenAlexW2955105850MaRDI QIDQ2127783

Arsalan D. Mizhidon

Publication date: 21 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2019.3.751

zbMATH Keywords

mechanical systemsEuler-Bernoulli beamsystem of rigid bodiesgeneralized mathematical modelHamiltonian variation principlehybrid systems of differential equations

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Hamilton's principle (70H25)

Cites Work

• Vibration analysis of beams with a two degree-of-freedom spring-mass system
• Transverse vibrations of an Euler--Bernoulli uniform beam carrying several particles.
• Eigenvalues of boundary value problem for a hybrid system of differential equations
• Free Vibrations Of Beams With Elastically Mounted Masses

This page was built for publication: A generalized mathematical model for a class of mechanical systems with lumped and distributed parameters