High-Order Hamilton's Principle and the Hamilton's Principle of High-Order Lagrangian Function
Zhao Hong-Xia, Ma Shan-Jun · Communications in Theoretical Physics · 2008
In this paper, based on the theorem of the high-order velocity energy, integration and variation principle, the high-order Hamilton's principle of general holonomic systems is given. Then, three-order Lagrangian equations and four-order Lagrangian equations are obtained from the high-order Hamilton's principle. Finally, the Hamilton's principle of high-order Lagrangian function is given.