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- W2333200211 abstract "A procedure based on the finite element method in time is developed for parametric identification of nonlinear structural dynamic systems. In the time finite element method, the time is discretized in a number of finite elements and the response history over each element is expressed in terms of basis functions (Legendre polynomials used in this study) in the time co-ordinate. An advantage of the time finite element method is the ease with which one can calculate the sensitivity of the transient response with respect to various design parameters, a key requirement for gradient-based parameter identification schemes. The method is simple, since one obtains the sensitivities of the response to system parameters by differentiating the algebraic: equations, not original differential equations. The proposed idenfication procedure employs this method to calculate the time series for the first partial derivatives of the response with respect to system parameters. These sensitivities are used in Levenberg-Marquardt iterative direct method to identify parameters for two nonlinear single-degree-of-freedom systems. The measured response was simulated by integrating the example nonlinear systems using the given values of the system parameters. To study the influence of the measurement noise on parameter identification, random noise is added to the simulated response. It is observed that the convergence is slower for system parameters that do not affect the system response appreciably. The accuracy and the efficiency of the present method is compared to a previously available approach that employs a multistep method to integrate nonlinear differential equations. It is seen that for the same accuracy, the present approach requires fewer data points (50 as compared to 335). * Professor of Aerospace Engineering, Associate Fellow AIAA 'Graduate Student, Aerospace Engineering NOMENCLATURE B Bilinear term in the variational formulation A Linear term in the variational formulation 6 Variational operator T Kinetic energy V Potential energy Qi Nonconservative forces not included in the variational operation Si, Si Displacement, Velocity TO Initial time Tf Final time Pk,pm Design parameters q Generalized coordinates {} Column vector Row vector" @default.
- W2333200211 created "2016-06-24" @default.
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- W2333200211 date "1996-04-15" @default.
- W2333200211 modified "2023-09-25" @default.
- W2333200211 title "Parametric identification of nonlinear structural dynamic systems using finite elements in time" @default.
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- W2333200211 doi "https://doi.org/10.2514/6.1996-1393" @default.
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