基于反射系数测量的黏弹性材料动态力学参数反演方法

提出一种通过测量声学覆盖层的反射系数,并反演黏弹性材料动态力学参数的方法。分别测量圆柱空腔覆盖层在两种不同背衬条件下的反射系数,根据圆柱空腔覆盖层反射系数与其材料动态力学参数之间的解析关系,利用二元非线性方程组求根的牛顿迭代法,求解方程组可以获得黏弹性材料的复纵波声速和复剪切波声速,进而计算复杨氏模量和复泊松比等其它黏弹性动态力学参数。最后,对某种橡胶材料进行了声管测试,并对黏弹性动态力学参数的测量结果进行了分析和讨论。     

Prediction of nonlocal scaling parameter for armchair and zigzag single-walled carbon nanotubes based on molecular structural mechanics, nonlocal elasticity and wave propagation

Atomic vibration in the Carbon Nanotubes (CNTs) gives rise to non-local interactions. In this paper, an expression for the non-local scaling parameter is derived as a function of the geometric and electronic properties of the rolled graphene sheet in single-walled CNTs. A self-consistent method is developed for the linearization of the problem of ultrasonic wave propagation in CNTs. We show that (i) the general three-dimensional elastic problem leads to a single non-local scaling parameter (e₀), (ii) e₀ is almost constant irrespective of chirality of CNT in the case of longitudinal wave propagation, (iii) e₀ is a linear function of diameter of CNT for the case of torsional mode of wave propagation, (iv) e₀ in the case of coupled longitudinal-torsional modes of wave propagation, is a function which exponentially converges to that of axial mode at large diameters and to torsional mode at smaller diameters. These results are valid in the long-wavelength limit.     

Second-order adjoint equation method for parameter identification of rock based on blast waves in tunnel excavation

The objective of this study is to present a method for identifying the elastic moduli of ground rock via the first- and second-order adjoint methods using blast vibration measurements during tunnel excavation. For identifying these parameters, the magnitudes of the blast force should be identified beforehand. Parameter identification is a minimization problem of the square sum of the discrepancy between the computed and observed velocities. The magnitudes of the three components of borehole pressure are assumed to be independent in each direction. The propagation of an elastic wave is assumed because the amplitude of such a wave is infinitesimal. The three-dimensional finite element method and the linear acceleration method are used effectively. The extended performance function can be expanded into a series of small constants to derive the necessary condition of minimization. The adjoint equation and the dynamic equation of motion can be used to obtain the gradient and the Hessian product of the extended performance function with respect to the parameters. The weighted gradient method and Broyden–Flecher–Goldfarb–Shanno method are successfully employed for the minimization. By applying the present identification technique at the Ohyorogi tunnel site, the fact that the computed and observed velocities are well in agreement is verified. The present method can be shown to be useful for tunnel excavation.     

U形试块残余应力超声检测及有限元分析

为验证超声检测残余应力的精度与检测深度问题,该文提出并设计一种能够施加定值载荷应力的U形试块来模拟构件中的残余应力。通过残余应力超声检测系统激励5 MHz、4 MHz等其他不同频率的超声换能器,对U形试块在缺口施加拉压载荷,使试块处于闭合、张开的不同状态来模拟构件中的拉压状态,对U形试块的上表面不同位置和后侧面不同深度处的应力值进行超声残余应力无损检测。同时将其检测结果与同等条件下ABAQUS有限元仿真分析的结果进行对比,验证该系统对表面残余应力及试块内部梯度残余应力检测的准确性。另外,该试块也为残余应力超声检测系统的校准提供方法。     

地应力对岩石爆破开裂及爆炸地震波的影响研究

深部岩体爆破开挖是高地应力和炸药爆炸产生的动应力共同作用的结果。采用SPH-FEM耦合数值模拟方法,研究了地应力场对岩石爆破开裂及开裂区外地震波能量的影响。结果表明:随着地应力水平的提高,岩石爆破破碎区的范围缩小、裂纹扩展速度降低,非静水地应力场中破碎区内裂纹主要沿最大主应力方向扩展,但地应力对爆破粉碎区的形成几乎没有影响;地应力作用下爆破开裂区形态改变影响了爆炸地震波的能量及传播特性,随着地应力的增大,更多的炸药爆炸能转化为地震波能量,产生的高频地震波随距离衰减更快,且小主应力方向上的爆炸地震波能量更大。研究成果可为深部岩体爆破优化设计提供理论参考。     

Free vibration analysis of double-bonded isotropic piezoelectric Timoshenko microbeam based on strain gradient and surface stress elasticity theories under initial stress using differential quadrature method

The size-dependent effect on free vibration of double-bonded isotropic piezoelectric Timoshenko microbeams using strain gradient and surface stress elasticity theories under initial stress is presented. This article is developed for isotropic piezoelectric material. Due to the high surface-to-volume ratio, surface stress has an important role with micro- and nanoscale materials. Thus, the Gurtin–Murdoch continuum mechanic approach is used. Governing equations of motion are derived by Hamilton's principle and solved by the differential quadrature method. The effects of pre-stress load, surface residual stress, surface mass density, surface piezoelectrics, Young's modulus of surface layers, three material length scale parameters, thickness to material length scale parameter ratios, various boundary conditions, and two elastic foundation coefficients are investigated. It is concluded that the effect of pre-stress load in greater modes is negligible for higher aspect ratios and this effect is similar to lower aspect ratios. Also, the size-dependent effect on the dimensionless natural frequency for strain gradient theory is higher than that for modified couple stress theory and classical theory, which is due to increasing stiffness of the Timoshenko microbeam model. Moreover, the results show that dimensionless natural frequency affects more by considering the material length scale parameters with respect to surface effect. The results are compared with the obtained results from the literature and show good agreement between them. It is concluded that the amplitude of the transverse displacements (w₀) for a microbeam (MB) is more than the transverse displacements (w₁) for a piezoelectric microbeam (PMB). On the other hand, using a piezoelectric layer for PMB, the amplitude of the transverse displacements (w₁) reduces considerably with respect to MB, in which this effect leads to increase the stiffness of the microbeam and stability of microstructures. With considering the piezoelectric layer, the obtained results can be used to control the amplitude and vibration of microstructures, prevent the resonance phenomenon, design smart structures, and can be employed for micro-electro-mechanical systems and nano-electro-mechanical systems.     

Strain gradient elasticity and modified couple stress models for buckling analysis of axially loaded micro-scaled beams

A class of higher-order continuum theories, such as modified couple stress, nonlocal elasticity, micropolar elasticity (Cosserat theory) and strain gradient elasticity has been recently employed to the mechanical modeling of micro- and nano-sized structures. In this article, however, we address stability problem of micro-sized beam based on the strain gradient elasticity and couple stress theories, firstly. Analytical solution of stability problem for axially loaded nano-sized beams based on strain gradient elasticity and modified couple stress theories are presented. Bernoulli–Euler beam theory is used for modeling. By using the variational principle, the governing equations for buckling and related boundary conditions are obtained in conjunctions with the strain gradient elasticity. Both end simply supported and cantilever boundary conditions are considered. The size effect on the critical buckling load is investigated.