Timoshenko beam model for chiral materials
| Autor: | Yanan Wang, L Yuan, Qing-Hua Qin, T Y Ma, Jian-Shan Wang |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Timoshenko beam theory
Materials science High Energy Physics::Lattice Mechanical Engineering Computational Mechanics Natural frequency 02 engineering and technology Elasticity (physics) 021001 nanoscience & nanotechnology 020303 mechanical engineering & transports Variational method Classical mechanics 0203 mechanical engineering Boundary value problem 0210 nano-technology Actuator Chirality (chemistry) Beam (structure) |
| Zdroj: | Acta Mechanica Sinica. 34:549-560 |
| ISSN: | 1614-3116 0567-7718 |
| DOI: | 10.1007/s10409-017-0735-y |
| Popis: | Natural and artificial chiral materials such as deoxyribonucleic acid (DNA), chromatin fibers, flagellar filaments, chiral nanotubes, and chiral lattice materials widely exist. Due to the chirality of intricately helical or twisted microstructures, such materials hold great promise for use in diverse applications in smart sensors and actuators, force probes in biomedical engineering, structural elements for absorption of microwaves and elastic waves, etc. In this paper, a Timoshenko beam model for chiral materials is developed based on noncentrosymmetric micropolar elasticity theory. The governing equations and boundary conditions for a chiral beam problem are derived using the variational method and Hamilton’s principle. The static bending and free vibration problem of a chiral beam are investigated using the proposed model. It is found that chirality can significantly affect the mechanical behavior of beams, making materials more flexible compared with nonchiral counterparts, inducing coupled twisting deformation, relatively larger deflection, and lower natural frequency. This study is helpful not only for understanding the mechanical behavior of chiral materials such as DNA and chromatin fibers and characterizing their mechanical properties, but also for the design of hierarchically structured chiral materials. |
| Databáze: | OpenAIRE |
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