NONLINEAR RESPONSE OF VERTICALLY OSCILLATING RIGID FOUNDATIONS

被引:21
作者
BORJA, RI [1 ]
WU, WH [1 ]
SMITH, HA [1 ]
机构
[1] STANFORD UNIV, STANFORD, CA 94305 USA
来源
JOURNAL OF GEOTECHNICAL ENGINEERING-ASCE | 1993年 / 119卷 / 05期
关键词
D O I
10.1061/(ASCE)0733-9410(1993)119:5(893)
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
The dynamic response of vertically excited rigid foundations on an elasto-viscoplastic half-space is investigated in the context of nonlinear finite element (FE) analysis. A deviatoric viscoplastic theory with a linear combination of isotropic and kinematic hardening is used to model the soil constitutive response. Large-scale nonlinear FE computations are made feasible by the use of a composite Newton-preconditioned conjugate gradient (PCG) iteration technique, which requires the factorization of the consistent tangent operator no more than once during the solution process. Time-domain analyses are used to investigate the nonlinear responses of vertically oscillating circular and square foundations to harmonic loads, using two- and three-dimensional FE modeling, respectively. For low-frequency excitations, resonance is created, which amplifies the motion of the foundation at amplitudes well above those obtained at the zero-frequency level. This behavior is in stark contrast to the linear elastic response of vertically oscillating finite-size foundations on a homogeneous half-space, in which the amplitude of the motion is known to decrease monotonically with increasing values of the excitation frequency. The resonance phenomenon is explained in the context of a single-degree-of-freedom oscillator analog that has been used successfully by previous investigators to model prototype continuum soil-structure interaction problems.
引用
收藏
页码:893 / 911
页数:19
相关论文
共 40 条
[21]  
LYSMER J, 1965, THESIS U MICHIGAN
[23]  
MROZ Z, 1979, GEOTECHNIQUE, V29, P1
[24]   ON DESCRIPTION OF ANISOTROPIC WORKHARDENING [J].
MROZ, Z .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1967, 15 (03) :163-&
[25]  
OTEGA JM, 1970, ITERATIVE SOLUTION N
[26]  
PERZYNA P, 1971, ADV APPLIED MECHANIC, V11
[27]   FINITE-ELEMENT SOLUTION OF THE TRANSIENT EXTERIOR STRUCTURAL ACOUSTICS PROBLEM BASED ON THE USE OF RADIALLY ASYMPTOTIC BOUNDARY OPERATORS [J].
PINSKY, PM ;
ABBOUD, NN .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1991, 85 (03) :311-348
[28]  
Pr?vost J.H., 1977, INT J NUMER ANAL MET, V1, P195, DOI [https://doi.org/10.1002/nag.1610010206, DOI 10.1002/NAG.1610010206]
[29]  
Prager W., 1956, J APPL MECH, V23, P493
[30]  
Reissner E, 1936, ING ARCH, V7, P381