Technical Briefs

Modular Assembly of Volterra Models of Nonlinear Physical Systems

[+] Author and Article Information
Eliot Motato

College of Engineering,  Universidad Javeriana, Cali, Colombiaemotato@puj.edu.co

Clark Radcliffe

Department of Mechanical Engineering,  Michigan State University, East Lansing, MIradcliff@msu.edu

J. Dyn. Sys., Meas., Control 133(5), 054501 (Jul 22, 2011) (6 pages) doi:10.1115/1.4004039 History: Received December 28, 2007; Accepted March 03, 2011; Published July 22, 2011; Online July 22, 2011

The modular model assembly method (MMAM) is an energy based model distribution and assembly algorithm that distributes and assembles model information through computer networks. Using the MMAM linear and affine physical system, models can be distributed and assembled using dynamic matrices. Though the MMAM procedure can be used for a large class of systems, linear model dynamic matrices cannot be used to represent nonlinear behavior. This work is an extension of the MMAM to assemble nonlinear physical models described through Volterra expansions. Volterra expansions are models representations of smooth nonlinearities. Using the approach proposed here, complex assemblies of nonlinear physical models can be executed recursively while hiding the topology and characteristics of their structural model subassemblies.

Copyright © 2011 by American Society of Mechanical Engineers
Topics: Manufacturing
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Figure 1

One-port linear component schematic representation

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Figure 2

Two-port nonlinear component schematic representation

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Figure 3

Diagram of the assembly from the model assembler perspective

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Figure 4

Detailed diagram of the assembly

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Figure 5

Section ODE response y1-(t) compared with different truncated VTF responses



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