综合国内外钛合金微弧氧化生物膜制备的方法,主要阐述了电参数与电解液对钛合金微弧氧化生物膜结构以及性能的影响机制.脉冲电源下,电流对膜层的制备具有良好的调整作用,且得到的膜层厚度显著增大.膜层厚度随氧化电压的升高而增加时,膜层表面颜色与腐蚀电位也发生变化.增加脉宽,降低频率时,单脉冲放电能量随之增加,微弧氧化成膜速率显著加快.不同体系电解液制备的膜层表面粗糙度、微孔结构等存在差异.在电解液中引入银、锌、铜离子能有效改善植入物涂层表面细菌黏附引起的异物炎症问题,增强其抗菌作用.基于目前钛合金微弧氧化的研究进展,展望了该研究方向,对钛合金植入物在临床医学应用发展中具有积极的促进作用.

By using a simplified postulate about the statistical regularity of gas molecules thermal motion,the perfect gas pressure formula is deduced simply.

For circular circuit with rectangular cross-section,using magnetic energy method,the expression of self-inductance in the form of integral is derived.Under the condition of thin wire,by means of function fit method,the expression of self-inductance in the form of primary function is obtained.

The Green's reciprocity theorem in a special case is obtained from the general Green's reciprocity theorem of electrostatic field.By employing the Green's reciprocity theorem in a special case,a number of solutions in different forms for electrostatic potential distribution of a uniformly changed ring are derived.

For a steady current-carrying tightly wound thick-wall solenoid with a finite length,the expression of vector potential is derived by using the method of cylindrical function expansion.The expressions of magnetic field distribution in the integral form are presented by employing the relation between vector potential and magnetic induction.The expressions in the series form of the interior and exterior magnetic field distribution of magnetic field of a thick-wall solenoid are calculated by means of the integration method directly.The magnetic field at central axis is obtained by applying the formulae of this paper.

对于通以恒定电流的有限长厚壁螺线管,用柱函数展开法推导出矢势的表达式,再根据磁感应强度与矢势的关系式得出磁场的积分形式表达式.用直接积分的方法,计算出厚壁螺线管内部和外部的磁场分布的级数表达式.另外还用本文得出的公式求得中轴线上的磁场.

For a tightly wound cylindrical solenoid of finite length,the expression of self-inductance in the integral form is derived by means of the Bessel functance expansion.The two expressions of self-inductance in the series form are obtained by using the direct integration method.Some simple analysis and comparison on the two expressions are presented.

It is factorized that the stationary Schrdinger equation of one-dimensional harmonic oscillator. First, zero point energy and wave function of ground state are obtained. Next, the recurrence formulas about energy grade and wave function are deduced. So the energy grade formula and the expression of wave function are derived simply.

It is pointed out that the way of deriving boundary condition A1t=A2t is improper given by some authors. It is shown that the correct way of obtaining the boundary condition A1t=A2t. The relationship between of en·(Δ×A2-Δ×A1)=0 and A1t=A2t is explained.

To solve axially symmetrical magnetostatic field,the cylindrical function expansion of vector potential is derived,the series expansion for expressing off-axis magnetic field by the axial values is obtained.At last,some examples using the two methods are given.

To solve axially symmetrical electrostatic field,the method of cylindrical function expansion is presented.The series expansion for the potential distribution in whole space with the potential distribution on the symmetric axis is derived,some examples are given.