It is demonstrated that the errors of the unified valve model are dependent on the damping coefficient alone using a non-dimensional approach.

The dimension analysis method is adopted to induce the similarity relation about structural dynamic test, based on the similarity ratio of damping, the earthquake excitation and any physics quantity related to the dynamic test can be calculated between the structure and the model.

The dimensional analysis was used to analyze the effects of the above operating factors on the film-formation process,and the dimensionless number Π1,Π2 and Π3 associated with the film-formation process were obtained.

In this paper, the π theorem of dimensional analysis method is used to solve the problem of moment of inertia of rigid bodies.

Similitude design of the dynamic soil-structure interaction test on shaking table system for geotechnical centrifuge is carried out by means of dimension analytical method, which is based on theorem of Bockingham.

Similitude design of the dynamic soil-structure interaction test on shaking table system for geotechnical centrifuge is carried out by means of dimension analytical method,which is based on theorem of Bockingham π.

Moreover, a dimensionless analytical method is applied to define a synthesis (syn) factor and synthesis line, etc in order to evaluate the comprehensive performance of the heat exchanger.