Form invariance and non-Noether conserved quantity of generalized Raitzin s canonical equations of non-conservative system;

Generalized quasi-variational principles with two kinds of variables in generalized non-conservative systems

There is a typical non-conservative system called accompanying force system, in which the force changes with the deformati.

The canonical equations of Hamilton-Tabarrok-Leech and Raitzin-Tabarrok-Leech for generalized nonconservative systems were established respectively.

In this paper, the integral invariant for nonholonomic nonconservative systems is constructed Then the integral invariant for nonholonomic conservative systems is expanded to nonholonomic nonconservative systems.

The Lie seymmetries and conserved quantities of relativistic holonomic nonconservative systems are studied.

Principle and application of generalized quasi-complementary energy to elastic structures of non-conservative systems;

For nonconservative systems, the cycle integrals of Lagranges equations which represent the theorems of generalized impulse are deduced, and the calculation methods of generalized impulse are also given, so that a new way of application is provided for Lagranges equations.

For the same holonomic nonconservative system,the expression of the Lagrange equations under different generalized forces appear different.

In this paper,based on the theory of power flow and energy distribution be-tween non-conservat ively co upled os cillators under correlated excit at ions, the equations ofenergy balance for the oscillators are derived and statistical energy analysis theory for non-conservatively coupled systems under correlated excitations is developed.