A planar simplified method for three-dimension cement-soil mixing piles composite foundation with FEM numerical analysis;

A simplified method for tooth surface equation of an equal-height spiral bevel gear;

Based on the differences of structural response between multi-dimensional excitation and simple-dimensional excitation,a simplified method to calculate member forces under multi-dimensional and multi-support excitation is presented in this paper.

According to the results,the simplification method is more conservative than the simulation method;the contact state between steel spiral case and its periphery concrete and the way of supporting of steel spiral case in construction have significant influences on the periphery concrete stress.

Based on a rational analysis of magnitude orders, the authors have obtained simplified equation systems at two levels, from which the fundamental pattern of the flow and its revision have been deduced smoothly; the damp effect of the vertical component of the magnetic field has been reasoned logically and the cause of the metal surface bump has been shown clearly.

This paper presents a basic law of the simplified equation of surface of degree 2, especially the law of the simplified equation of surface of degree 2 with two equal zero roots.