Cantilever structure model updating of end effector based on frequency response data under thermal effects

Abstract

The effect of thermal on the structural dynamic response is gaining attention, and should be taken into account during model updating. Meanwhile, metamodel technique is applied to be a surrogate model for its low computational cost. In this work, the structural model updating under thermal field is investigated, an attempt has been made to combine Kriging metamodel and frequency response function based model updating. The Kriging model, taken as a surrogate, is constructed based on the input variables selected by F-test method, which is applied on the results of design of experiment. The errors of response signal between analytical model and experimental model are used to create response of design of experiment. The performed example demonstrates the effectiveness of the proposed approach. KEYWORDS frequency response signal, metamodel, model updating, thermal preload Int J Adapt Control Signal Process. 2019;33:1257-1264.wileyonlinelibrary.com/journal/acs

Parameter estimation for time‐delay systems based on the frequency responses and harmonic balance methods

“…Therefore, we consider identifying the time-delay model by the frequency responses. 25,26 In addition, the harmonic balance method is an approximate analytical method often used to solve linear and nonlinear equations. 27,28 The ideal of the harmonic balance method is bringing the hypothetical solution into the original equation.…”

“…6. If k < L e , increase k by 1 and go to Step 3, continue the recursive calculation; otherwise, obtain the parameter estimation vector̂i(t k ) from (26) and terminate this process.…”

“…Then apply the GI algorithm in (16) to (21) to estimate the parameters a 1 , a 0 , b 1 , b 0 , 1 , and 0 of the second-order time-delay model. To improve the accuracy of the SG-GI algorithm, apply the RLS algorithm in (22) to (26) to estimate the parameters C i and D i (i = 1, 2, … , 6) of the output response. Then similarly, apply the GI algorithm in (16) to (21) to estimate the parameters a 1 , a 0 , b 1 , b 0 , 1 , and 0 of the second-order time-delay model.…”

“…From the above analysis, it is very difficult and even impossible to calculate the impulse response and the step response of the time‐delay model in (). Therefore, we consider identifying the time‐delay model by the frequency responses 25,26 . In addition, the harmonic balance method is an approximate analytical method often used to solve linear and nonlinear equations 27,28 .…”