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Jiajia Pan and Hung Tao Shen
A two-dimensional wave model coupled with ice dynamics is developed to evaluate ice effects on shallow water wave propagation on a beach and in a channel. The nonlinear Boussinesq equations with ice effects are derived and solved by the hybrid technique ...
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Noori Y. Abdul-Hassan, Zainab J. Kadum and Ali Hasan Ali
In this paper, we propose a new numerical scheme based on a variation of the standard formulation of the Runge?Kutta method using Taylor series expansion for solving initial value problems (IVPs) in ordinary differential equations. Analytically, the accu...
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Grzegorz Ilewicz and Edyta Ladyzynska-Kozdras
The surgical robots currently used in cardiac surgery are equipped with a remote center of motion (RCM) mechanism that enables the required spherical workspace. The dynamics model of the surgical robot?s RCM mechanism presented in this work includes a di...
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Jiaming Xiong, Song Sang, Xiao Shi and Chaojie Gan
This study investigates the vertical-type submerged floating tunnel with anchor cables. Based on the characteristics of the anchor cables, the anchor cables are simplified as a nonlinear beam model with hinged ends. Disregarding the axial displacement of...
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Zereng Chen, Qinghe Zhang, Guoquan Ran and Yang Nie
A wetting and drying treatment for a three-dimensional discontinuous Galerkin hydrodynamic model without mode splitting (external and internal modes) was developed. In this approach, computing elements are classified into wet, dry, and semidry elements, ...
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Jianmin Wen, Chenqi Fu, Hong Zhang and Bindi You
The internal beveloid gear has good scientific research value and a broad application field. However, there is a lack of research on the nonlinear vibration characteristics of internal beveloid gears. The present study establishes a nonlinear vibration m...
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Chengyan Wang, Yuanting Zou, Ji Huang and Chia-Ming Fan
The moving pseudo-boundary method of fundamental solutions (MFS) was employed to solve the Laplace equation, which describes the potential flow in a two-dimensional (2D) numerical wave tank. The MFS is known for its ease of programming and the advantage ...
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Zacharoula Kalogiratou and Theodoros Monovasilis
Two-Derivative Runge?Kutta methods have been proposed by Chan and Tsai in 2010 and order conditions up to the fifth order are given. In this work, for the first time, we derive order conditions for order six. Simplifying assumptions that reduce the numbe...
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Yizheng Yu, Pengxiang Lv, Xiao Liu and Xiang Liu
The flow-induced vibration characteristic of the U-section rubber outer windshield structure of high-speed train is the key factor to limit its high-speed movement. Accurate and effective flow-induced vibration analysis of windshield structures is an imp...
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Shun Liu, Hongyi Lu, Bin Zhang, Yucheng Yang and Doudou Sang
The presence of the erosive burning effect during the operation of a solid rocket motor (SRM) is one of the most important factors affecting the proper operation of the motor. To solve the effects of the operating process of the motor under erosive burni...
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