Lagrange Equation for solving the flexible ship-bridge multi-body system’s collision dynamics

Journal of Chongqing Jiaotong University(Natural Science) ›› 2001, Vol. ›› Issue (S1): 7-11.

Previous Articles Next Articles

Lagrange Equation for solving the flexible ship-bridge multi-body system’s collision dynamics

XIAO Sheng xie ¹,PENGKai ¹,CAI Ru zhe ², ZHOU Kai fa ³

1. Bridge & Structure Engineering Department,Chongqing Jiaotong University,Chongqing 400074,China;2.Southwest Research Institute of Water Transport Engineering,Chongqing Jiaotong Un

Received:2001-06-02 Online:2001-12-31 Published:2016-07-12

船只/桥梁多柔体系统碰撞问题求解的Lagrange方程

肖盛燮¹,彭凯¹,蔡汝哲²,周开发³

1.重庆交通学院桥梁及结构工程系重庆400074;2.重庆交通学院西南水运工程科学研究所, 重庆 400016 3.重庆交通学院教务处重庆400074

基金资助:
国家自然科学基金资助项目(59878057)

Abstract

Abstract: Based on the detailed analysis of the flexible ship bridge multi body system,a model of discrete concentrated masses linked with elastic elements is built up in this paper,and the Lagrange Equation for the model is given according to the coordinates in broad sense. In turn,the paper discusses the solutions for the equation and the expression of the colliding forces as well as the judgment of the ending time of the colliding process.

Key words: flexible multi body system, collision, coupling, Lagrange Equation

摘要： 通过对船只 /桥梁多柔体系统碰撞问题进行具体分析并作适当简化和离散化,形成集中质量 -弹簧体系模型,针对模型按广义坐标建立拉格朗日微分方程组,简述了该方程组的解法,讨论了碰撞结束时的脱离判别准则和碰撞力的表示方法

关键词: 多柔体系统, 碰撞, 耦合, Lagrange方程

CLC Number:

U441

XIAO Sheng xie ,PENGKai ,CAI Ru zhe , ZHOU Kai fa. Lagrange Equation for solving the flexible ship-bridge multi-body system’s collision dynamics[J]. Journal of Chongqing Jiaotong University(Natural Science), 2001, (S1): 7-11.

肖盛燮,彭凯,蔡汝哲,周开发. 船只/桥梁多柔体系统碰撞问题求解的Lagrange方程[J]. 重庆交通大学学报（自然科学版）, 2001, (S1): 7-11.

[1]	LI Shougang， ZHANG Wei. Tunnel Stability Considering Mudstone Swelling and Softening due to Water Immersion [J]. Journal of Chongqing Jiaotong University(Natural Science), 2026, 45(4): 9-17.
[2]	LI Li1，XIE Quan1，ZHU Jinyu1，WANG Runmin2，GONG Xianwu1. Vehicle Collision Risks Assessment at Unsignalized Roundabouts Based on Safety Potential Field [J]. Journal of Chongqing Jiaotong University(Natural Science), 2026, 45(4): 81-88.
[3]	ZHAO Qiang, ZHANG Shiwei , CHEN Wei, LIAO Xun. Structural Response of the Bow of the Ship during Ice Collisions in the Liaodong Bay Ice Period [J]. Journal of Chongqing Jiaotong University(Natural Science), 2026, 45(4): 127-134.
[4]	HE Peijian1,2， GENG Bo1,2， FENG Xia1,2， ZENG Haonan1,2. Vehicle Collision Force Reduction Effect of the Arched-Surface Composite Material Device [J]. Journal of Chongqing Jiaotong University(Natural Science), 2025, 44(8): 15-24.
[5]	WU Huawei1,2, LI Lang1,2, LI Zhi1,2, ZENG Yunyun3, PENG Jianping3. Multi-field Coupled Noise Optimization for Wheel Hub Motors Incorporating ICOA and PSM [J]. Journal of Chongqing Jiaotong University(Natural Science), 2025, 44(7): 23-32.
[6]	YAN Linjun1，LIU Jingjing1，LI Fei2，WANG Yani1，CHEN Huixin1. Simulation Study on Construction Progress Risks of Subway “Tunnel-Four Electricity” Technology Interface [J]. Journal of Chongqing Jiaotong University(Natural Science), 2025, 44(6): 64-72.
[7]	CHEN Zhengfei1,2，CHEN Hengchi1,2，CHEN Bin1,2. Deformation Monitoring of Bridge Anti-ship-collision Equipment Based on Nap-of-the-Object Photogrammetry [J]. Journal of Chongqing Jiaotong University(Natural Science), 2025, 44(6): 123-130.
[8]	ZHANG Hao1，ZHAO Qiu1，TONG Zhaojie2，DONG Jucan3，CHEN Yiyan1. Calculation Method of Flexural-Torsional Coupling Capacity of Composite Box Girder with Corrugated Steel Webs [J]. Journal of Chongqing Jiaotong University(Natural Science), 2025, 44(6): 139-144.
[9]	LIU Lang1, ZHAO Yifei1, XIA Yongqing2, LUO Hao1, XU Manfei1. Residual Traffic Reliability of Bridge Structures Subjected to Heavy-Duty Truck Collision [J]. Journal of Chongqing Jiaotong University(Natural Science), 2025, 44(3): 1-8.
[10]	SHI Yongcan1, YU Xiaohui1, ZHANG Xixiang2, YU Hongming2, LI Tijun2. Principle and Effect of Flexible Anti-collision Structure of Steel Enclosure-Steel Spring Sleeve Box for Cylindrical Pier [J]. Journal of Chongqing Jiaotong University(Natural Science), 2025, 44(3): 9-17.
[11]	WANG Zhengjun1，2, GAO Renhe1, LEI Yu1，2, KE Wenhao1，2. Influence of Large Temperature Difference and Ultraviolet Radiation on the Performance of Asphalt in Cold and High-Altitude Area [J]. Journal of Chongqing Jiaotong University(Natural Science), 2025, 44(2): 43-52.
[12]	WANG Lu, HUO Lulu, ZHANG Ziyu, CHEN Hong. Traffic Safety in Mountainous Bridge and Tunnel Connection Sections under the Action of Vehicle-Road-Environment [J]. Journal of Chongqing Jiaotong University(Natural Science), 2025, 44(2): 82-90.
[13]	TANG Xinhua. Combustion and Emission of Linear Range Extender Considering Coupling Effects of Dynamics and Thermodynamics [J]. Journal of Chongqing Jiaotong University(Natural Science), 2025, 44(12): 11-17.
[14]	HUANG Xu1, HE Jiajun1, DING Wenlong1, ZHU Jin2, LI Yongle2. Influence of Configuration of Steel Box Girder on Temperature Effect Considering Wind-Temperature Coupling [J]. Journal of Chongqing Jiaotong University(Natural Science), 2025, 44(1): 33-42.
[15]	DU Haiming, CHEN Qi, HU Zhihong, FAN Mingjie. PMSM Sliding Mode Active Disturbance Rejection Decoupling Control Based on Current Deviation [J]. Journal of Chongqing Jiaotong University(Natural Science), 2024, 43(9): 109-117.

Lagrange Equation for solving the flexible ship-bridge multi-body system’s collision dynamics

船只/桥梁多柔体系统碰撞问题求解的Lagrange方程

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics