2000 character limit reached
Timoshenko beam under finite and dynamic transformations: Lagrangian coordinates and Hamiltonian structures (2407.14453v5)
Published 19 Jul 2024 in math-ph and math.MP
Abstract: In the framework of Timoshenko beam, the material parameters are inherently prescribed on the material moving frame. In this regard, we derive the strong and weak formulations of the dynamics under finite transformation in Lagrangian coordinates. Accordingly, analytical mechanics tools are used to deduce a new Hamiltonian formulation of the model which proves to be remarkably simple and synthetic.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.