相对论系统的广义Lagrange变分原理

Ceneralized Lagrange Principles Of Relativistic Mechanical Systems

从力学系统相对论性的D'AlembertLagrange原理出发,建立非完整非保守系统的相对论性广义Lagrange积分变分原理,证明其Ho¨lder形式与Cуслов形式的等价性,并应用该原理导出非完整非保守系统相对论性的运动微分方程.以往的各种Lagrange原理均是本文原理的特款.

On the basis of generalized D'AlembertLagrange principle of relativistic mechanical system,the relativistic generalized Lagrange principles of the system are found, and the equivalence of the H o¨lder form and the Suslo form is proved;then, the relativistic differential equations of motion of nonholonomic nonconservative system are obtained.All the Lagrange principles in the past time are only special cases of this principle.