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RISS 인기검색어
- 검색키워드
- 저자 : Yaobing Sun (검색결과 3 건)
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Nonlinear in-plane free oscillations of suspended cable investigated by homotopy analysis method
Yaobing Zhao,Ceshi Sun,Zhiqian Wang,Jian Peng 국제구조공학회 2014 Structural Engineering and Mechanics, An Int'l Jou Vol.50 No.4
An analytical solution for the nonlinear in-plane free oscillations of the suspended cable which contains the quadratic and cubic nonlinearities is investigated via the homotopy analysis method (HAM). Different from the existing analytical technique, the HAM is indeed independent of the small parameter assumption in the nonlinear vibration equation. The nonlinear equation is established by using the extended Hamilton's principle, which takes into account the effects of the geometric nonlinearity and quasi-static stretching. A non-zero equilibrium position term is introduced due to the quadratic nonlinearity in order to guarantee the rule of the solution expression. Therefore, the mth-order analytic solutions of the corresponding equation are explicitly obtained via the HAM. Numerical results show that the approximate solutions obtained by using the HAM are in good agreement with the numerical integrations (i.e., Runge-Kutta method). Moreover, the HAM provides a simple way to adjust and control the convergent regions of the series solutions by means of an auxiliary parameter. Finally, the effects of initial conditions on the linear and nonlinear frequency ratio are investigated.
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Nonlinear in-plane free oscillations of suspended cable investigated by homotopy analysis method
Zhao, Yaobing,Sun, Ceshi,Wang, Zhiqian,Peng, Jian Techno-Press 2014 Structural Engineering and Mechanics, An Int'l Jou Vol.50 No.4
An analytical solution for the nonlinear in-plane free oscillations of the suspended cable which contains the quadratic and cubic nonlinearities is investigated via the homotopy analysis method (HAM). Different from the existing analytical technique, the HAM is indeed independent of the small parameter assumption in the nonlinear vibration equation. The nonlinear equation is established by using the extended Hamilton's principle, which takes into account the effects of the geometric nonlinearity and quasi-static stretching. A non-zero equilibrium position term is introduced due to the quadratic nonlinearity in order to guarantee the rule of the solution expression. Therefore, the mth-order analytic solutions of the corresponding equation are explicitly obtained via the HAM. Numerical results show that the approximate solutions obtained by using the HAM are in good agreement with the numerical integrations (i.e., Runge-Kutta method). Moreover, the HAM provides a simple way to adjust and control the convergent regions of the series solutions by means of an auxiliary parameter. Finally, the effects of initial conditions on the linear and nonlinear frequency ratio are investigated.
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Pile-sinking force modeling and analysis of anti-pull impact pile driver
Shuyi Yang,Deshun Liu,Yaobing Sun 대한기계학회 2015 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.29 No.8
A "Rigid body - spring - rigid body - elastic rod - rigid body - spring - elastic rod" impact system dynamics model for an anti-pull impactpile driver is established based on the Newton mechanics and stress wave theory. In the developed model, the force, velocity, andstress curves are acquired by solving the dynamic equations. Influences of system dynamics parameters on the maximum pile-sinkingforce are discussed. Results show that mass and velocity of the impact hammer, stiffness of buffer spring and pile cap have significantimpacts on maximum pile-sinking force, while mass of transmission box and platen have less effects. In engineering applications, maximumpile-sinking force can be controlled by rational allocation and design of pile cap and platen’s stiffness. This work can provide someguidelines for the future product optimization design. As a result, impact performance pile drivers with much better can be designed.
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