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https://github.com/nopour/timoshenko_beam_finiteelement

Deflections and vibrations of Timoshenko beam (Finite Element Method)
https://github.com/nopour/timoshenko_beam_finiteelement

ansys beam fem finite-element-analysis finite-element-methods gdq matlab modal mode-shapes-extraction mr-eslami projects python timoshenko vibrational-analysis

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Deflections and vibrations of Timoshenko beam (Finite Element Method)

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# Timoshenko Beam _ FiniteElement
Deflections and vibrations of Timoshenko beam (Finite Element Method)

![Picture3](https://github.com/user-attachments/assets/71deb4be-2926-44f8-8332-ae416cf0ae09)

> [!NOTE]
> ANSYS, GDQ method and a highly cited paper is used for validation!

> [!TIP]
> In this project deflection and vibrations of the Timoshenko beam are investigated using the Finite Element Method (FEM). In the beginning, the generalities and importance of the beam and equations governing the problem, as well as the description of the solution method and algorithm are given. To validate the Python code written in this project, the GDQ method, commercial finite element software (ANSYS) and existing valid article were used.

![Picture1](https://github.com/user-attachments/assets/6ed0949a-8612-48d2-99d8-189ed414e7b3)