The linear complementarity method for elastic contact problems based on the principle of virtual work is used in this paper,with its simplified theoretical derivation,clear concept and non-iterative solution procedure.

Variational inequality equation\|linear complementary equation(VIE-LCE) method was applied in the structural systems (space frame structure, frame shear-wall structure).

The linear complementary equation deduced from it has less calculation and clearer conception features.

This paper derives the boundary element linear complementary equation of the Reissner plate on the unilateral elastic half space foundation with side loads.

And the first step experiment of two courses combination is processed.

Based on the refrigerating cycle for an air conditioning system,provides the idea of analyzing the exergetic cost with matrix model thermoeconomics,and sets up the event matrix and supplementary equations.

Based on the present heat-power cost analysis theory of thermoeconomics, product degree coefficient and supplementary equation creation are combined, and new supplementary equation creation principles are put forward.

With application of IAPWS-IF97 standard and the newest supplementary equations as the accurate and good boundary continuous frame model which radically abandoned the iterative calculation,the calculating speed is greatly improved.