Nonlinear rapid heating of shallow arches
| Autor: | Yaser Kiani, Mohammad Reza Eslami, A. Keibolahi |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
0209 industrial biotechnology
Materials science Isotropy Equations of motion 02 engineering and technology Mechanics Condensed Matter Physics Ritz method Stress (mechanics) Nonlinear system 020303 mechanical engineering & transports 020901 industrial engineering & automation 0203 mechanical engineering General Materials Science Heat equation Arch Beam (structure) |
| Zdroj: | Journal of Thermal Stresses. 41:1244-1258 |
| ISSN: | 1521-074X 0149-5739 |
| DOI: | 10.1080/01495739.2018.1494522 |
| Popis: | The analysis of large amplitude thermally induced vibrations of a shallow curved beam is considered in this article. The beam is made from an isotropic homogeneous material. One surface of the arch is subjected to rapid surface heating while the other surface is kept at reference temperature. The temperature profile is evaluated by means of the 1D heat conduction equation across the thickness of the beam. The thermally induced moments and forces are evaluated from the temperature profile. These resultants are inserted into the equations of motion of the arch. To establish the equations of motion, kinematic assumptions of a shallow arch with considerations of the von Karman type of geometrical nonlinearity, Euler–Bernoulli beam assumptions, and linear stress–strain–temperature law are employed. The equations of motion are discreted using the conventional polynomial Ritz formulation. The resulting equations are nonlinear and at each time step the Newton–Raphson technique is used to obtain the soluti... |
| Databáze: | OpenAIRE |
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