Estimation of the dynamic constitutive equations by using the method of nonlinear least squares

被引：0
|
作者：
Hojo, Akihiro
Tachiya, Hiroshi
Chatani, Akiyoshi
机构：
来源：
Nippon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A | 1991年 / 57卷 / 537期
关键词：
Mathematical Techniques - Least Squares Approximations;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
An estimation method of the dynamic constitutive equations using the method of least squares is described. In this paper, the unknown parameters in the constitutive equations of which tthe functional form is known were estimated. The estimation is performed by using the method of nonlinear least squares utilizing the Gauss-Newton method because the constitutive equations are nonlinear. Numerical simulation were done such that the unknown parameters in the constitutive equation were estimated from the value of the strain wave in a long bar subjected to longitudinal impact. The stability of the estimation and influence of experimental error on the estimated parameters were examined. As a result, it was concluded that the present method is practically useful.
引用
收藏
页码：1265 / 1270
相关论文
共 50 条
  • [21] Least squares estimation of nonlinear spatial trends
    Crujeiras, Rosa M.
    Van Keilegom, Ingrid
    COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2010, 54 (02) : 452 - 465
  • [22] Lightning Impulse Parameter Estimation Using Nonlinear Least Squares Algorithm
    Al Saaideh, Mohammad, I
    Feilat, Eyad A.
    Abu-Al-Nadi, Dia, I
    Al-Hinai, Amer S.
    2019 IEEE JORDAN INTERNATIONAL JOINT CONFERENCE ON ELECTRICAL ENGINEERING AND INFORMATION TECHNOLOGY (JEEIT), 2019, : 97 - 102
  • [23] Nonlinear Least Squares Estimation for Breathing Monitoring Using FMCW Radars
    Beltrao, Gabriel
    Alaee-Kerahroodi, Mohammad
    Schroeder, Udo
    Tatarinov, Dimitri
    Shankar, Bhavani M. R.
    2021 18TH EUROPEAN RADAR CONFERENCE (EURAD), 2021, : 241 - 244
  • [24] ESTIMATION OF SCATTERER SPACING USING NONLINEAR LEAST-SQUARES TECHNIQUE
    TARTONO, S
    BILGUTAY, NM
    IEEE TRANSACTIONS ON SONICS AND ULTRASONICS, 1985, 32 (01): : 94 - 94
  • [25] A nonlinear weighted least-squares finite element method for Stokes equations
    Lee, Hsueh-Chen
    Chen, Tsu-Fen
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (01) : 215 - 224
  • [26] Estimation of parameters of the Gompertz distribution using the least squares method
    Wu, JW
    Hung, WL
    Tsai, CH
    APPLIED MATHEMATICS AND COMPUTATION, 2004, 158 (01) : 133 - 147
  • [27] Estimation of parameters of the Makeham distribution using the least squares method
    Feng, Xinlong
    He, Guoliang
    Abdurishit
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2008, 77 (01) : 34 - 44
  • [28] Dynamic least squares parameter estimation of structures
    Yap, KC
    Zimmerman, DC
    IMAC-XVIII: A CONFERENCE ON STRUCTURAL DYNAMICS, VOLS 1 AND 2, PROCEEDINGS, 2000, 4062 : 1513 - 1519
  • [29] New Predictive Equations for Dynamic Modulus and Phase Angle Using a Nonlinear Least-Squares Regression Model
    Yang, Xu
    You, Zhanping
    JOURNAL OF MATERIALS IN CIVIL ENGINEERING, 2015, 27 (03)
  • [30] Dynamic Analysis of Least Squares Estimation on Equalization Using a Systemic Approach
    Ramos, Boris
    Tovar, Nelson
    2019 IEEE 2ND INTERNATIONAL CONFERENCE ON ELECTRONICS AND COMMUNICATION ENGINEERING (ICECE 2019), 2019, : 221 - 225
12345