Abstract
Based on the direct parameter estimation method and the Legendre series approximation, a two-step method is presented to estimate by measured data the physical parameters, i.e., mass, damping, stiffness and knot, of nonlinear systems with symmetrical piecewise linear restoring force. At first, the piecewise linear restoring force of the system is approximated by Legendre series. A least squares direct parameter estimation method is adopted to identify the mass and damping parameters of the system and the corresponding coefficients of the Legendre series. Secondly, the physical parameters of the piecewise linear restoring force, i.e., the primary and the secondary stiffness and the knots, are extracted from the estimated Legendre coefficients. Neither iteration nor search process is needed in this method. The validity of the method is demonstrated by numerical simulation on a single-degree-of-freedom and a three-degree-of-freedom system with both noise-free data and noise-polluted data.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
