应用数学和力学

2018 Vol. 39, No. 1

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Global Sensitivity Analysis of Structural Dynamic Characteristics Considering Metamodel Uncertainty

WAN Huaping, ZHONG Jian, REN Weixin

2018, 39(1): 1-10. doi: 10.21656/1000-0887.380018

Abstract(1661) PDF(860)

Abstract:
Uncertainty of structural parameters will unavoidably lead to uncertainty of structural natural frequencies. The global sensitvity analysis (GSA) is an effective approach to quantify the contributions of individual parameters to the induced uncertainty of dynamic characteristics. However, the GSA ha...

Application of the Bi-Potential Integration Algorithm to Non-Associated Materials

ZHOU Yangjing, FENG Zhiqiang, PENG Lei

2018, 39(1): 11-28. doi: 10.21656/1000-0887.380139

Abstract(1636) PDF(1543)

Abstract:
Given the formulation of material free energy, the bi-potential theory allows one to divide standard materials into 2 main categories: explicit or implicit. The Drucker-Prager (D-P) model was taken as an example, which typically describes non-associated materials through the constitutive cones. With...

Dynamics Modeling and Motion Planning for Snakeboard Systems Based on Differential Geometry

YAO Qijia, GE Xinsheng

2018, 39(1): 29-40. doi: 10.21656/1000-0887.380107

Abstract(1321) PDF(884)

Abstract:
Dynamics modeling and motion planning for snakeboard systems were investigated, and a hybrid optimization strategy based on the genetic algorithm (GA) and the Gauss pseudospectral method (GPM) was presented. Firstly, the Euler-Lagrange equations for the snakeboard system were derived based on the Ri...

A Concurrent Microstructured Model for Complex Solids and Existence of Solitary Waves

NARANMANDULA

2018, 39(1): 41-49. doi: 10.21656/1000-0887.380074

Abstract(943) PDF(634)

Abstract:
A concurrent microstructured nonlinear model involving 2 kinds of microscale nonlinear effects was established to describe the motion of complex solids with 2 microstructures of different properties. The existence of asymmetric solitary waves was proved according to the qualitative analysis theory a...

Random Sound Radiation of Thin Plates Under Turbulent Boundary Layer Excitations With a Symplectic Method

PAN Chenge, LI Yuyin, ZHANG Yahui

2018, 39(1): 50-63. doi: 10.21656/1000-0887.380151

Abstract(1420) PDF(702)

Abstract:
The random sound radiation of thin plates subjected to turbulent boundary layer (TBL) excitations was studied in the symplectic duality system. Firstly, the cross power spectral density of the TBL was represented by a Fourier series, and the problem of the random sound radiation of structures excite...

Dynamic Mode Decomposition of Horseshoe Vortex Flow Structures Around Square PrismPlate Junctions

WANG Jianming, MING Xiaojie, WANG Han, MA Yang, WANG Chengjun

2018, 39(1): 64-76. doi: 10.21656/1000-0887.380125

Abstract(1159) PDF(848)

Abstract:
The multi-frequency phenomenon exists with the horseshoe vortex flow structure in junction flow. In order to demonstrate the oscillatory characteristics and the basic dynamics, the periodical oscillatory horseshoe vortex system was simulated near the square prism-plate junction. The periodical oscil...

Soil Infiltration Rates and Hydrology Model Classifications Based on the Hausdorff Fractal Derivative Richards Equation

CHEN Wen, LIANG Yingjie, YANG Xu

2018, 39(1): 77-82. doi: 10.21656/1000-0887.380101

Abstract(1168) PDF(744)

Abstract:
The time-dependent soil infiltration rate was derived based on the Hausdorff fractal derivative Richards equation. This model requires only 2 parameters, among which the Hausdorff derivative order characterizes the underlying water transport environment property in heterogeneous soil, while the pore...

Research on Grouting Infiltration Mechanism for Time-Dependent Viscous Slurry Considering Effective Void Ratios in Saturated Clay

KOU Lei, XU Jianguo, WANG Bo

2018, 39(1): 83-91. doi: 10.21656/1000-0887.380050

Abstract(1317) PDF(665)

Abstract:
The calculation formula of effective void ratios was established according to the characteristic parameters of soil in view of the influence of the strong bound water layer on the permeability characteristics of clay. The empirical formula of permeability coefficients of clay was obtained through mo...

A Theoretical Model for MagnetoMechanical Coupling Behaviors of Magnetorheological Elastomers

LI Xu, WAN Qiang, SHI Ping’an

2018, 39(1): 92-103. doi: 10.21656/1000-0887.380021

Abstract(1336) PDF(1416)

Abstract:
Based on the magnetic dipole interaction theory, a theoretical model was proposed to describe the magneto-mechanical coupling behaviors of magnetorheological elastomers with the principle of minimum potential energy. In this model, the fully coupled interaction among all particles and chains was con...

An Operational Matrix Method for Fractional Advection-Diffusion Equations With Variable Coefficients

ZHU Xiaogang, NIE Yufeng

2018, 39(1): 104-112. doi: 10.21656/1000-0887.380041

Abstract(1349) PDF(763)

Abstract:
A numerical method for the Caputo-fractional advection-diffusion equations with variable coefficients was investigated. Based on Chebyshev cardinal functions, an effective operational matrix was derived for Riemann-Liouville fractional integral, and with it, a new operational matrix method was propo...

Singular Perturbation Solutions to 1D Stochastic Burgers Equations Under Weak Noises

BAO Liping, HONG Wenzhen

2018, 39(1): 113-122. doi: 10.21656/1000-0887.380068

Abstract(1557) PDF(671)

Abstract:
The singular perturbation solutions to a class of bounded stochastic Burgers equations under colored noises were discussed, of which the volatility followed the weak noise Ornstein-Uhlenbeck (O-U) process. With the Kolmogorov equation satisfied by the probability density function of wave motion, the...