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2004 Vol. 36, No. 6

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Experimental study on the influence of the deepth of liquid layer to free surface in buoyant-thermcapillary convection
2004, 36(6): 641-648. doi: 10.6052/0459-1879-2004-6-2004-049
Three-dimensional numerical model for turbulent flow around a bottom-mounted pile
2004, 36(6): 649-654. doi: 10.6052/0459-1879-2004-6-2003-284
Rayleigh-taylor and kelvin-helmholtz instability of compressible fluid
2004, 36(6): 655-663. doi: 10.6052/0459-1879-2004-6-2003-501
Hybrid moving grid generation and implicit algorithm for unsteady flows
2004, 36(6): 664-672. doi: 10.6052/0459-1879-2004-6-2003-157
A theoretical and experimental study on the quasi-static constitutive model of aluminum foams
2004, 36(6): 673-679. doi: 10.6052/0459-1879-2004-6-2004-157
The influence of indenter tip radius to micro-indentation tests
2004, 36(6): 680-687. doi: 10.6052/0459-1879-2004-6-2004-046
Two-surface model of macroscopic electro-mechanical behavior for ferroelectrics under unaxial loading
2004, 36(6): 688-694. doi: 10.6052/0459-1879-2004-6-2002-133
The anti-plane motion of two gradient non-homogeneous half-planes with the unilateral frictional interface
2004, 36(6): 695-700. doi: 10.6052/0459-1879-2004-6-2004-177
Sectional optimization of plate and shell structures with stress and displacement constraints
2004, 36(6): 701-708. doi: 10.6052/0459-1879-2004-6-2003-450
Permeability estimation of unidirectional reinforcements based on the homogenization theory
2004, 36(6): 709-713. doi: 10.6052/0459-1879-2004-6-2003-364
Microscopic heterogeneity and macroscopic mechanical behavior of a polycrystalline material
2004, 36(6): 714-723. doi: 10.6052/0459-1879-2004-6-2003-444
Dynamic response of liquid-multibody interaction problems in liquid-filled systems
2004, 36(6): 724-731. doi: 10.6052/0459-1879-2004-6-2003-536
The numerical study of two-degree-of-freedom vortex-induced vibration of the downstream cylinder in tandem arrangement
2004, 36(6): 732-738. doi: 10.6052/0459-1879-2004-6-2003-332
The study of diffusion coefficient of micro-particles in confined dispersion
The diffusion characters of particles constrained between two shortly separated flat walls are different from those of particles in the infinite space. In this paper, constrained diffusion of an isolated micro-sphere (about 1μm in diameter, Polystyrene) confined between two parallel flat walls was studied using video microscopy combined with optical tweezers by measuring the distance of Brownian motion of a sphere within a period of time. We also developed a method of measuring the distance of vertical motion of a sphere based on the correlation analysis of the sphere image, which decreases the measurement error, by which the relation between diffusion character of a sphere and its distance to the bottom of the sample cell was experimentally studied.
2004, 36(6): 739-743. doi: 10.6052/0459-1879-2004-6-2003-492
Buckling of single-walled carbon nanotubes via a hybrid atomic/continuum approach
Tienchong Chang
Mechanical behaviors and properties of carbon nanotubes are drawing increasing attention from the mechanics community. Both the “Bottom Up” approach based on quantum mechanics and the “Top Down” approach based on continuum mechanics are frequently used to model mechanical behaviors and properties of nanotubes. For some problems, a nanotube can be well described as a continuum solid cylindrical beam or shell. For some other problems, nanotubes show unique properties which cannot be described by continuum methods alone and require atomic or quantum descriptions of the phenomena involved. Hybrid Atomic/Continuum (HAC) approach has been recognized to be a useful tool to describe the effect of atomic details on the macro properties and behaviors of nano-structures and materials. In this paper, buckling of single-walled carbon nanotubes is modeled via a HAC approach. The model shows that zigzag nanotubes are stiffer than armchair tubes. The conclusion is validated by Tersoff-Brenner molecular dynamics simulation.
2004, 36(6): 744-748. doi: 10.6052/0459-1879-2004-6-2004-076
Hamilton canonical equation for elastic bodies and natural frequencies analysis of integral stiffened plates
, Na Ta
Abstract: Based on Hamilton canonical equation theory for elastic bodies, a novel mathematic model for the natural frequencies analysis of integral stiffened plates is achieved. Basic idea is the separate consideration of plate and stiffeners, i.e. the linear equation sets of plate and stiffeners are established separately. The compatibility of displacements and stresses on the interface between the plate and the stiffeners is employed to derive the integral equation of structure, and then the characteristic equation on natural frequencies. The advantages are the transverse shear deformation and rotary inertia are considered naturally, further more, without any limit to the thickness of plate and height of stiffener. The convergence studies of several numerical examples and results show that present method is reliable. The method in this paper can be easily developed to solve the corresponding problems of stiffened shells stiffened piezolaminated plates, and plates or shells with piezoelectric material patches.
2004, 36(6): 749-756. doi: 10.6052/0459-1879-2004-6-2004-021
Minimum H∞ norm estimation of interval systems by an eigenvalue perturbation method
The norm represents the disturbance attenuation performance of a control system. An eigenvalue perturbation method of differential equations is proposed to calculate the minimum norm of the control system with structured uncertainty, here interval matrices are used to represent the uncertainty in the plant matrix of the system. The method is based on the correspondence between the minimum induced norm and the first order eigenvalue of the associated Hamiltonian two-point boundary value problem.
2004, 36(6): 757-761. doi: 10.6052/0459-1879-2004-6-2003-396