A theory of relativistic analytical statics of rotational systems is constructed. The relativistic virtual work principle and the relativistic generalized equilibrium equations of rotational system are obtained, and an example is given to illustrate the application of the results.
The paper presents the relativistic virtual work principle, relativistic generalized equilibrium equations of translational systems and relativistic generalized equilibrium equations of potential and translational systems. A theory of relativistic analytical statics of translational systems are also constructed. The theory has been utilized to study the equilibrium questions when a spaceship is moving in a high and accelerated speed.
The development process of the finite element method is introduced briefly,and the theoretic fundamentals of the quasi-conforming element method is analyzed from generalized equilibrium equations,generalized compatibility equations and its weak continuity condition. The calculation based on the quasi-conforming element method is the exact solution of generalized compatibility equations and satisfies the weak continuity requirement naturally,and in the calculation,which does not need satisfy stress equilibrium conditions,the calculating process of the matrix's inverse is simplified.
A theory of relativistic analytical statics of variable angular velocity rotational system are constructed. The relativistic virtual work principle and the relativistic generalized equilibrium equations of variable angular velocity rotational system are obtained, and it has been proved that mechanics system of variable angular velocity rotational system is generally non-potential-system.
A theory of relativistic analytical statics of rotational systems is constructed. The relativistic virtual work principle and the relativistic generalized equilibrium equations of rotational system are obtained, and an example is given to illustrate the application of the results.
The paper presents the relativistic virtual work principle, relativistic generalized equilibrium equations of translational systems and relativistic generalized equilibrium equations of potential and translational systems. A theory of relativistic analytical statics of translational systems are also constructed. The theory has been utilized to study the equilibrium questions when a spaceship is moving in a high and accelerated speed. The universality of the theory ...
The development process of the finite element method is introduced briefly,and the theoretic fundamentals of the quasi-conforming element method is analyzed from generalized equilibrium equations,generalized compatibility equations and its weak continuity condition. The calculation based on the quasi-conforming element method is the exact solution of generalized compatibility equations and satisfies the weak continuity requirement naturally,and in the calculation,wh...