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《Journal of Beijing Institute of Technology》 2003-03
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Form Invariance and Non-Noether Conserved Quantity of Holonomic Mechanical System

WANG Shuyong1,2,SHANG Mei1,MEI Fengxiang1(1.Department of Mechanics, School of Science, Beijing Institute of Technology, Beijing100081, China;2.Guangdong Technical College of Water Resources and Electric Engineering, Guangzhou, Guangdong 510635, China)  
NonNoether conserved quantity led by form invariance for holonomic systems is studied. Equations of motion and criterion equations of the form invariance are established. The necessary and sufficient condition under which the form invariance is a Lie symmetry is given. The condition under which the form invariance can be led to a conserved quantity and the form of the conserved quantity are obtained. An example is given to illustrate the application of the result.
【Fund】: 国家自然科学基金资助项目(10272021)
【CateGory Index】: O316
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