AL-Najjar, Iyad and Jálics, Károly (2025) Applying Method of Line on cantilever beam under varying loads. DESIGN OF MACHINES AND STRUCTURES, 15 (1). pp. 49-58. ISSN 1785-6892
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Abstract
The Method of Lines (MoL) is a powerful numerical technique for solving partial differential equations (PDEs) by discretising the spatial domain while keeping time as a continuous variable. In this study, we employ MoL to solve the fourth-order beam equation, which governs the dynamics of an Euler-Bernoulli cantilever beam. The primary objective is to develop a simplified computational model for a wind turbine blade, treated as a cantilever beam subjected to dynamic loading. The spatial discretisation is performed using finite difference approximations, transforming the governing PDE into a system of second-order ordinary differential equations (ODEs). The resulting ODE system is then integrated over time using Runge-Kutta.
| Item Type: | Article |
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| Uncontrolled Keywords: | Method of Lines, cantilever beam, varying loads, Euler-Bernoulli beam theory, simplified wind turbine blade |
| Subjects: | T Technology / alkalmazott, műszaki tudományok > TD Environmental technology. Sanitary engineering / környezetvédelem, hulladékkezelés, egészségügyi mérnöki technika (ivóvízellátási és szennyvízkezelési technika) T Technology / alkalmazott, műszaki tudományok > TJ Mechanical engineering and machinery / gépészmérnöki tudományok |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 07 Jul 2026 06:45 |
| Last Modified: | 07 Jul 2026 06:45 |
| URI: | https://real.mtak.hu/id/eprint/241559 |
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