Motion of compliant capsules on corrugated surfaces: A means of sorting by mechanical properties

We discuss a novel method for capturing the dynamic coupling between a fluid and an elastic solid, the so-called fluid–structure interaction. This method integrates a lattice Boltzmann model to capture the fluid dynamics with a lattice spring model to capture the micromechanics of the solid phase. We then examine the fluid-driven motion of microcapsules, which are modeled as fluid-filled, elastic shells, along a corrugated substrate. We show that the ability of the capsules to navigate along the surface depends critically on capsule's elastic modulus. In particular, we illustrate how this substrate can be utilized to design a device for sorting microcapsules by their mechanical properties. These results apply not only to polymeric microcapsules, but also describe the interaction between the substrate and certain biological cells (e.g., leukocytes and other cells with cytoskeletons). Hence, by isolating species of a certain stiffness, the device could be highly useful for applications in biotechnology and tissue engineering or in the quality control of fabricated microcapsules. © 2006 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys 44: 2667–2678, 2006     

气体比热比值γ测定仪的设计及其特性

本文介绍用共振法测量空气弹簧振子固有频率，从而测定气体值比热比值的方法。装置简单，实验结果与理论值吻合。     

Performance of ultra-low frequency passive vertical vibration isolation system with reverse pendulum

A novel long period passive vertical vibration isolator constructed by mounting reverse pendulums on two pairs of torsion springs is presented. By theoretical analysis and numerical calculation, it is shown that the isolator can achieve much longer resonant period due to gravitational positive feedback and is smaller in size than the current torsion spring isolators with the same geometric parameters. Project supported by the Post-doctoral Foundation of Huazhong University of Science and Technology.     

Cascade unlooping of a low-pitch helical spring under tension

We study the force vs. extension behaviour of a helical spring made of a thin torsionally stiff anisotropic elastic rod. Our focus is on springs of very low helical pitch. For certain parameters of the problem such a spring is found not to unwind when pulled but rather to form hockles that pop out one by one and lead to a highly non-monotonic force-extension curve. Between abrupt loop pop-outs this curve is well described by the planar elastica whose relevant solutions are classified. Our results may be relevant for tightly coiled nanosprings in future micro- and nano(electro)mechanical devices.     

一类非线性振动系统改进状态空间模型及其数值方法

导出了一类非线性振动系统的改进状态空间模型，提出了相应的数值计算方法，并利用迭代法有效地提高了计算精度。该数值方法与传统的Houbolt、Wilson-θ、Newmark-β法以及连续线性化模型及其Taylor变换法^[3,4]相比，具有更高的求解精度和效率。文末给出了非线性单摆、强迫Duffing方程、强迫Van Der Pol方程以及两自由度非线性弹簧摆这几类典型非线性方程的数值计算结果，并与文献[5-8]进行对比，进一步说明了该方法在计算精度和效率两方面的优越性。     

Bead-spring chain model for the dynamics of dilute polymer solutions : Part 2. Comparisons with experimental data

Comparisons are made between experimental rheological data and theoretical predictions obtained from a recently developed algorithm which incorporates three major molecular concepts in a theory for dilute polymer solutions (hydrodynamic interaction, excluded volume and nonlinear springs). These predictions include the radius expansion factor, the apparent chain expansion factor, the molecular weight dependence of the intrinsic viscosity, the frequency dependence of oscillatory flow birefringence, and the shear rate dependence of the intrinsic viscosity. This paper shows that a bead-spring chain model quantitatively predicts these quantities when the relevant molecular concepts are incorporated, suggesting that the rheological properties of dilute polymer solutions can be explained and predicted in terms of these molecular parameters.     

橡胶弹簧非线性刚度的有限元解

本文探讨了用双重非线性有限元手段，求解橡胶弹簧的非线性刚度。橡胶的本构关系采用了广义虎克定律和基于应变能的超弹性材料的本构关系联合使用的方案，用单元内的静水压力ｐ，来修正广义虎克定律的弹性常数Ｅ和Ｇ。还提出了带刚性域的超单元和波前凝聚法两种新的办法，获得橡胶弹簧的刚度，使内存用量和ＣＰＵ时间大幅度下降。因而几何、物理双重非线性橡胶弹簧的计算，能在微机上实现。文内选用英国ＤＵＮＬＯＰ橡胶公司橡胶元件     

有质量弹簧的振动周期探讨

本文讨论了有质量弹簧的弹簧振子的动力学,运用哈密顿函数解出了振子的运动方程,并推导出振动周期与弹簧质量和阻尼的关系．     

Gravity compensation of parallel kinematics mechanism with revolute joints using torsional springs

Abstract

Passive gravity compensation technologies based on counterweight and torsional springs is rarely discussed due to the unavailability of an exact mathematical manipulation to determine the required spring constants to achieve the static balance. This article proposes using these springs for a parallel kinematics mechanism with revolute joints. Either the spring constants or initial spring displacements are determined by a constrained optimization approach aiming at minimizing the total potential energy of the mechanism or the static reaction in the actuation direction at the actuators, along a prescribed trajectory. This results in reduced actuation forces/ torques and hence reduced power consumption.     

Consideration of the masses of helical springs in forced vibrations of damped combined systems

The common point about many systems modeled as Bernoulli-Euler beams with attachments is that the own masses of the helical springs are neglected. Some researchers accounted for the masses of the springs during free vibrations of those systems. Further to these studies, the present study deals with the investigation of the effect of not taking into account the masses of the helical springs in damped combined systems during their forced vibrations. It is shown that the spring mass effect may be important in regions near to the resonance frequencies. Further, this effect influences the phase angles more than the amplitudes.