双曲正弦函数

采用Z参数的双曲正弦函数描述该合金高温变形的峰值流变应力，获得了峰值流变应力解析式，其热变形激活能为239.02kJ。

The peak flow stress during high temperature deformation can be represented by Z parameter in a hyperbolic sine function . The analytical expression of peak flow stress was fitted with the hot deformation activation energy of 239.02 ?

结果表明，该材料在高温变形时的稳态流变应力与应变速率、变形温度均满足Arrhenius方程，其中更满足双曲正弦函数关系；

The result shows that the interrelations of steady flow stress , strain rate and deformation temperature can be described by Arrhenius ' equation , especially by hyperbolic sine function .

具有正实参数的双曲正弦函数族的迭代

Iteration of the Hyperbolic Sine Family with Positive Real Parameters

证明了利用反双曲正弦函数变换能提高数据列的光滑程度，给出了改善的自回归预测方法，并且举例加以论证。

This paper proves that the smooth degree of a data row can be increased by transforming the counter-hyperbolic sine function .

本构分析表明：可以采用双曲正弦函数来描述6016铝合金高温热压缩变形流变行为，热变形激活能为270.257kJ/mol。

The structure analysis shows that : the hyperbolic sine can be used to describe the 6016 aluminum alloy high temperature compression deformation behavior .

针对变结构控制中的抖振问题，设计了采用双曲正弦函数代替符号函数的姿态跟踪器。

For variable structure control chattering problem , the design of the hyperbolic sine function instead of sign function of the gesture tracking devices .

基于沉淀滴定基本原理，利用双曲正弦函数性质提出了一种处理沉淀滴定终点误差的新方法。

An attempt to offer a new treatment of end point error in precipitation titration by using hyperbolic sine function is given in this paper .

提出了“利用反双曲正弦函数变换提高数据列光滑程度”的新结论，获得了递增时间序列改善的自回归预测新方法。

A new conclusion is put forward , in which the smooth degree of the data row can be enhanced by means of the arc-hyperbolic sine function transformation .

仿真结果表明，变结构姿态跟踪系统的跟踪精度远高于比例微分姿态跟踪系统的跟踪精度，且使用双曲正弦函数后，控制力矩不再抖振。

Simulation results show that variable structure attitude tracking system tracking accuracy is much higher than the percentage differential attitude tracking system tracking accuracy , and use the hyperbolic sine function , the control torque no buffeting .