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A Modified Implicit Scheme for the Numerical Dynamic Analysis of Beam Elements Considering Nonlocal in Time Internal Damping
In the present paper, the problem on numerical dynamic simulation of bending structural elements made of orthotropic materials, such as composites and nanomaterials, is considered. The modeling of damping properties of such materials, including those that are initiated by internal friction in the material, is of particular concern. Damping parameters of the proposed numerical model are nonlocal in time. Such a model provides the results allowing one to approximate enough reliably the dissipative properties of constructional elements made of composite materials. The nonlocal in time damping model, known as “damping with memory”, is embedded into the finite element method algorithm. An equilibrium equation for a beam element in motion is solved numerically utilizing an implicit scheme. The damping matrix for the proposed model is derived from the condition of stationarity of the total deformation energy of the moving mechanical system. The provided analysis of the one-dimensional nonlocal in time design model has shown that the modified implicit scheme allows one to increase the accuracy of the experimental data approximation.
A Modified Implicit Scheme for the Numerical Dynamic Analysis of Beam Elements Considering Nonlocal in Time Internal Damping
In the present paper, the problem on numerical dynamic simulation of bending structural elements made of orthotropic materials, such as composites and nanomaterials, is considered. The modeling of damping properties of such materials, including those that are initiated by internal friction in the material, is of particular concern. Damping parameters of the proposed numerical model are nonlocal in time. Such a model provides the results allowing one to approximate enough reliably the dissipative properties of constructional elements made of composite materials. The nonlocal in time damping model, known as “damping with memory”, is embedded into the finite element method algorithm. An equilibrium equation for a beam element in motion is solved numerically utilizing an implicit scheme. The damping matrix for the proposed model is derived from the condition of stationarity of the total deformation energy of the moving mechanical system. The provided analysis of the one-dimensional nonlocal in time design model has shown that the modified implicit scheme allows one to increase the accuracy of the experimental data approximation.
A Modified Implicit Scheme for the Numerical Dynamic Analysis of Beam Elements Considering Nonlocal in Time Internal Damping
Lecture Notes in Civil Engineering
Radionov, Andrey A. (editor) / Ulrikh, Dmitrii V. (editor) / Timofeeva, Svetlana S. (editor) / Alekhin, Vladimir N. (editor) / Gasiyarov, Vadim R. (editor) / Sidorov, V. N. (author) / Badina, E. S. (author) / Detina, E. P. (author)
International Conference on Construction, Architecture and Technosphere Safety ; 2022 ; Sochi, Russia
2023-03-03
9 pages
Article/Chapter (Book)
Electronic Resource
English
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