THE STUDY OF DYNAMIC CHARACTERISTICS IN NONLINEAR-SYSTEMS

被引：3

作者：

PU, XZ

ZHU, MW

FAN, MJ

机构：

[1] Mechanical Institute, Nanjing University of Science and Technology, Nanjing

来源：

IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT | 1995年 / 44卷 / 03期

关键词：

D O I：

10.1109/19.387301

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

A new algorithm is proposed to calculate the Laplace transform of the product of functions, so that the transformation could be used to solve the problem of nonlinear systems. The nonlinear transfer functions and approximate solutions of pulse response in the first- and second-order systems, which are calculated by this method, are the same as those by the Volterra series method, but could be obtained more conveniently. The frequency responses of first- and second-order systems with cubic nonlinearities and their stability problems are studied. A judgement is proposed for second-order nonlinear systems to prevent some special phenomena of nonlinear systems, such as jump, superharmonic resonance, bifurcation, etc.

引用

页码：652 / 656

页数：5

共 6 条

[1]

BU XZ, 1993, THESIS U SCI TECHNOL

[2]

CAN S, 1988, NASA TM100034

[3] AN ALGEBRAIC APPROACH TO NON-LINEAR FUNCTIONAL EXPANSIONS [J].

FLIESS, M ;

LAMNABHI, M ;

LAMNABHILAGARRIGUE, F .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1983, 30 (08) :554-570

[4]

JIAO LC, 1992, NONLINEAR TRANSFUNCT

[5]

NOVAK S, 1985, INT J NONLINEAR MECH, V20, P123

[6] SUPERSTRUCTURE IN THE BIFURCATION SET OF THE DUFFING EQUATION X+DX+X+X3=FCOS(W)T) [J].

PARLITZ, U ;

LAUTERBORN, W .

PHYSICS LETTERS A, 1985, 107 (08) :351-355

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