A closed-form model for nonlinear spatial deflections of rectangular beams in intermediate range
| Autor: | Guimin Chen, Ruiyu Bai, Shorya Awtar |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Power series
Computer science Differential equation 02 engineering and technology symbols.namesake Planar 0203 mechanical engineering Deflection (engineering) Taylor series medicine General Materials Science Civil and Structural Engineering business.industry Mechanical Engineering Compliant mechanism Stiffness Structural engineering 021001 nanoscience & nanotechnology Condensed Matter Physics Nonlinear system 020303 mechanical engineering & transports Mechanics of Materials symbols medicine.symptom 0210 nano-technology business |
| Zdroj: | International Journal of Mechanical Sciences. 160:229-240 |
| ISSN: | 0020-7403 |
| DOI: | 10.1016/j.ijmecsci.2019.06.042 |
| Popis: | Modeling the nonlinear load-displacement relations for flexible beams has been a key objective in compliant mechanisms research. There have been several practically useful methods for modeling planar deflections, but less work has been done in modeling spatial deflections. This work proposes the load-displacement relations for rectangular beams by solving the nonlinear governing differential equations of the beams using the power series method and then simplifying the solution by Taylor series expansion and truncation. The solution is validated to be accurate by comparing with two commercial finite element software packages, ANSYS and Abaqus. This comparison shows that this approach is capable of capturing the relevant geometric nonlinearities in the intermediate deflection range defined as 10% of the beam length. The load-displacement relation offers a useful and parameterized tool for understanding the constraint (i.e. stiffness and motion) behavior of rectangular cross-section beams and generating compliant mechanism designs with nonlinear kinetostatic behaviors. |
| Databáze: | OpenAIRE |
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