INTERPOLATION-BASED CONDENSATION OF ALGEBRAIC SEMIDISCRETE MODELS WITH FREQUENCY-RESPONSE APPLICATION

被引:4
作者
FLIPPEN, LD
机构
[1] Naval Research Laboratory, Washington, DC 20375
关键词
CONDENSATION; DEGREE-OF-FREEDOM; SEMIDISCRETE; INTERPOLATION; FREQUENCY RESPONSE; FREQUENCY WINDOW;
D O I
10.1016/0898-1221(95)00036-X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Condensation model reduction theory, a method of degree-of-freedom-elimination for semi-discrete system models with response-prediction fidelity in the retained degrees-of-freedom (DOF), is applied to algebraic semi-discrete models. The condensation process makes use of an interpolation over a user-chosen subset, denoted as a ''window,'' of the set of continuous-independent-variable values. The window's ''size'' and ''location,'' as well as the accuracy of the method within the window, are hence controllable by the user. (There is a computational-cost versus accuracy/window-size tradeoff for a given DOF reduction, as would be expected.) One target of this capability is the DOF reduction of spatially-discrete, continuous-time-transformed (Fourier, Laplace, etc.) linear system models, for which the resulting semi-discrete model has frequency as the continuous independent variable. The window would then correspond to a selected frequency range, (a region of the complex frequency plane in the most general case). Another target of this capability is the DOF reduction of nonlinear, path-independent static or quasistatic models, for which the window corresponds to a region of the reduced-DOF-model solution space itself. As a demonstration, the method is applied to the frequency response of a non-periodic linear elastic laminate over a rectangular window in the complex frequency plane. It is seen that the frequency-response predicted by the reduced-DOF model at each of various values within the window, as well as the eigenvalues predicted by the reduced-DOF model within the window, agree well with the corresponding predictions of the original, full-DOF model.
引用
收藏
页码:39 / 52
页数:14
相关论文
共 17 条
[1]   THE EFFECT OF SUBSTRUCTURES ON THE ACOUSTIC RADIATION FROM AXISYMMETRICAL SHELLS OF FINITE-LENGTH [J].
BJARNASON, J ;
IGUSA, T ;
CHOI, SH ;
ACHENBACH, JD .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1994, 96 (01) :246-255
[2]   A THEORY OF CONDENSATION MODEL-REDUCTION [J].
FLIPPEN, LD .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1994, 27 (02) :9-40
[3]   CURRENT DYNAMIC SUBSTRUCTURING METHODS AS APPROXIMATIONS TO CONDENSATION MODEL-REDUCTION [J].
FLIPPEN, LD .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1994, 27 (12) :17-29
[4]   CONSTITUTIVE-OPERATOR SMOOTHING BY CONDENSATION [J].
FLIPPEN, LD .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1994, 27 (06) :5-18
[5]  
FLIPPEN LD, 1993, 13TH P ARM S SOL MEC
[6]   RESONANCE CHARACTERISTICS OF CONNECTED SUBSYSTEMS - THEORY AND SIMPLE CONFIGURATIONS [J].
IGUSA, T ;
ACHENBACH, JD ;
MIN, KW .
JOURNAL OF SOUND AND VIBRATION, 1991, 146 (03) :407-421
[7]   RESONANCE CHARACTERISTICS OF CONNECTED SUBSYSTEMS - GENERAL CONFIGURATIONS [J].
IGUSA, T ;
ACHENBACH, JD ;
MIN, KW .
JOURNAL OF SOUND AND VIBRATION, 1991, 146 (03) :423-437
[8]  
Krishnamurthy E. V., 1985, TEXTS MONOGRAPHS COM
[9]  
Lancaster P., 1985, COMPUTER SCI APPL MA
[10]  
Lapidus L, 1982, NUMERICAL SOLUTION P