Title :
Dynamic response of nonlinear measurement systems
Author :
Xiong-Zhu, Pu ; Ming-Wu, Zhu
Author_Institution :
Mech. Inst., Nanjing Univ. of Sci. and Technol., China
Abstract :
A new algorithm is proposed to calculate the Laplace transform of the product of functions, so that the transformation can be used to solve the problem of nonlinear systems. The nonlinear transfer functions and approximate solutions of pulse response of first and second order systems calculated by this method are the same as by Volterra series method, but can be obtained more conveniently. The frequency responses of first and second order systems with cubical nonlinearities and their stability problem 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
Keywords :
Laplace transforms; Volterra series; instrumentation amplifiers; measurement theory; nonlinear systems; stability; transducers; transfer functions; Laplace transform; Volterra series method; approximate solutions; bifurcation; cubical nonlinearities; dynamic response; first order systems; frequency responses; jump; nonlinear measurement systems; nonlinear transfer functions; pulse response; second order systems; stability; superharmonic resonance; Differential equations; Frequency; Harmonic analysis; Laplace equations; Nonlinear dynamical systems; Nonlinear equations; Nonlinear systems; Resonance; Stability; Transforms;
Conference_Titel :
Instrumentation and Measurement Technology Conference, 1994. IMTC/94. Conference Proceedings. 10th Anniversary. Advanced Technologies in I & M., 1994 IEEE
Conference_Location :
Hamamatsu
Print_ISBN :
0-7803-1880-3
DOI :
10.1109/IMTC.1994.351853
