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101.
AbstractThis article contains the nonlocal elasticity theory to capture size effects in functionally graded (FG) nano-rod under magnetic field supported by a torsional foundation. Torque effect of an axial magnetic field on an FG nano-rod has been defined using Maxwell’s relation. The material properties were assumed to vary according to the power law in radial direction. The Navier equation and boundary conditions of the size-dependent FG nano-rod were derived by the Hamilton’s principle. These equations were solved by employing the generalized differential quadrature method (GDQM). Presented model has the ability to turn into the classical model if the material length scale parameter is taken to be zero. The effects of some parameters, such as inhomogeneity constant, magnetic field and small-scale parameter, were studied. As an important result of this study can be stated that an FG nano-rod model based on the nonlocal elasticity theory behaves softer and has smaller natural frequency. 相似文献
102.
ABSTRACTWe study the effect of the external electric field Fext on the low-temperature electron mobility μ in an asymmetrically doped AlxGa1-xAs based V-shaped double quantum well (VDQW) structure. We show that nonlinearity of µ occurs under double subband occupancy on account of intersubband effects. The field Fext alters the VDQW potential leading to transfer of subband wave functions between the wells, which affects the scattering potentials and hence μ. In the VDQW structure, due to the alloy channel layer, the alloy disorder (Al-) scattering happens to be significant along with the ionised impurity (Imp-) scattering. The non-linear behaviour of μ is because of μImp, while the overall magnitude of μ is mostly due to μAl. The increase of difference in the doping concentrations of the outer barriers increases the nonlinearity of μ. The oscillatory character of μ is amended by varying the width of the well and barrier and also the height of the VDQW. Our results can be used to study VDQW based nanoscale field effect transistor structures. 相似文献
103.
Nikolay Banichuk Alexander Barsuk S. Y. Ivanova Juha Jeronen Evgeni Makeev 《基于设计的结构力学与机械力学》2018,46(1):1-17
We consider an infinite, homogenous linearly elastic beam resting on a system of linearly elastic supports, as an idealized model for a paper web in the middle of a cylinder-based dryer section. We obtain closed-form analytical expressions for the eigenfrequencies and the eigenmodes. The frequencies increase as the support rigidity is increased. Each frequency is bounded from above by the solution with absolutely rigid supports, and from below by the solution in the limit of vanishing support rigidity. Thus in a real system, the natural frequencies will be lower than predicted by commonly used models with rigid supports. 相似文献
104.
Marek Czachor 《Foundations of Physics Letters》1991,4(4):351-361
A mobility phenomenon is typical for a large class of non-linear evolutions. It is shown that the mobility can be responsible for a malignant form of quantum mechanical non separability of two correlated systems. An explicit example based on Weinberg's non linear quantum mechanics is considered. We show that in such a theory a transfer of information without a transfer of energy is possible and discuss physical roots of this phenomenon. In Polchinski's approach this effect is not present.1 Permanent address: Laboratory of Dielectrics and Organic Semiconductors, Technical University of Gdask, Gdask, Poland. 相似文献
105.
The analysis of kinematics and dynamics of an elastic rod with
circular cross section is studied on the basis of exact Cosserat
model under consideration of the tension and shear deformation of
the rod. The dynamical equations of a rod with arbitrary initial
shape are established in general form. The dynamics of a straight
rod under axial tension and torsion is discussed as an example. In
discussion of static stability in the space domain the Greenhill
criteria of stability and the Euler load are corrected by the
influence of tension and shear strain. In analysis of dynamical
stability in the time domain it is shown that the Lyapunov and Euler
stability conditions of the rod in space domain are the necessary
conditions of Lyapunov's stability in the time domain. The longitudinal,
torsional and lateral vibrations of a straight rod based on exact
model are discussed, and an exact formula of free frequency of
lateral vibration is obtained. The free frequency formulas of
various simplified models, such as the Rayleigh beam, the Kirchhoff
rod, and the Timoshenko beam, can be seen as special cases of the
exact formula under different conditions of simplification. 相似文献
106.
介绍了基础激励下机构随机振动响应的理论与分析方法.利用有限元分析软件ANSYS建立了某空间望远镜相关跟踪系统摆镜的有限元模型,并进行了随机振动响应分析.通过分析考察了其承受动力学环境的能力.对计算结果进行了分析.指出了现有结构中的薄弱环节,提出了改进方案,为摆镜的设计提供了重要参考依据. 相似文献
107.
We considered the factors due to which the dependences between the uranium–oxygen distances R
0 and the frequencies of valence vibrations as for complex compounds of uranyl are described by two independent expressions generally represented by equations of the type R
0 = a + bas
–2/3 (b > 0) with the coefficients a and b differing in the regions R
0 < 0.178 nm and R
0 > 0.178 nm. It is shown that the reason is that there is a mutual effect of the ligands in the uranyl complex responsible for different partial contributions of the uranium orbitals and of the atoms of the first coordination sphere to the chemical bonding. 相似文献
108.
隔水套管波流联合作用下非线性动力响应 总被引:4,自引:0,他引:4
考虑流及波流联合作用,研究了深水套管的涡激非线性振动.将套管简化为梁模型,计及Morison非线性流体动力和涡激荷载,建立套管的涡激振动方程.采用Korolov函数求解套管的固有频率和模态,提出了计算涡激非线性动力响应的Galerkin方法,计算了160 m水深中170 m长套管的固有频率和模态,研究了流引起的主共振和波流联合引起的组合共振.计算结果表明波流联合作用下套管的动力响应明显增大,结果也揭示了波流联合激励下套管复杂的动力响应特性. 相似文献
109.
激光水下扫描成像系统的图像修正机理 总被引:2,自引:0,他引:2
同步扫描系统可以克服后向散射,但同时也产生了两种非线性,一是扫描线速度的非线性,一是由于距离对光能衰减造成的非线性,两种非线性都需要修正,本文从原理上讨论水下激光成像时能量衰减的修正原理与修正方法,并给出仿真结果。 相似文献
110.