共查询到20条相似文献,搜索用时 15 毫秒
1.
Ryabov D. S. Chechin G. M. Naumov E. K. Bebikhov Yu. V. Korznikova E. A. Dmitriev S. V. 《Nonlinear dynamics》2023,111(9):8135-8153
Nonlinear Dynamics - All possible one-component delocalized nonlinear vibrational modes (DNVMs) in a square lattice are analyzed. DNVMs are obtained taking into account exclusively the symmetry of... 相似文献
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正交各向异性厚板的边界元解法 总被引:1,自引:1,他引:1
本文利用 Hormander 算子法和平面波分解法导出了计入剪切变形的正交各向异性厚板的基本解。建立了计入剪切变形的正交各向异性厚板的边界积分方程。文中详细地讨论了基本解的数值计算,并用边界元法分析了一些算例。 相似文献
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Edward J. Haug 《基于设计的结构力学与机械力学》2018,46(3):347-375
A formulation for modeling and simulation of friction effects in spatial multibody systems is presented. Constraint reaction forces on rigid bodies that are connected by joints that support friction are derived as functions of Lagrange multipliers, using D’Alembert’s principle. Friction forces acting on bodies are calculated as a function of joint geometry, constraint reaction forces that are functions of Lagrange multipliers, and relative velocities at constraint contact points that are determined by system kinematics. Friction forces are implemented in index 0 differential-algebraic equations of motion that are solved numerically using explicit and implicit numerical integration methods. Spatial examples are presented, yielding accurate results and demonstrating that the systems are not stiff, even in the presence of friction and stiction. 相似文献
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Microstructures for a cubic to orthorhombic transition are constructed using a geometrically nonlinear, thermoelastic theory of martensitic transformations. Such microstructures are of interest because they provide low energy paths along which a specimen can transform. The particular microstructures considered are the twinned martensite, austenite–martensite, wedge, triangle, and diamond. More specifically, all possible twins are found along with the corresponding twinning elements and magnitude of the twin shear. Further, two kinds of austenite–martensite microstructures are studied: those with a single variant of martensite and those with twinned martensite. The regions in the space of transformation stretches in which each of these microstructures exist are determined, and the shape strains and habit plane normals are found as well. In addition, special microstructures, the wedge, triangle, and diamond, are constructed with both the austenite-single variant and austenite-twinned martensite microstructures. These special microstructures are of interest because they provide a mechanism through which the transformation may proceed more easily, and they are possible only in alloys with particular transformation stretches. Numerically computed level curves in the space of the stretches are presented on which the special microstructures are possible. These results may be useful in providing guidelines for alloy design. 相似文献
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T.HAYAT M.JAVED 《应用数学和力学(英文版)》2010,31(10):1231-1240
Effects of compliant wall properties on the peristaltic flow of a non-Newtonian fluid in an asymmetric channel are investigated.The rheological characteristics are characterized by the constitutive equations of a power-law fluid.Long wavelength and low Reynolds number approximations are adopted in the presentation of mathematical developments.Exact solutions are established for the stream function and velocity.The streamlines pattern and trapping are given due attention.Salient features of the key parameters entering into the present flow are displayed and important conclusions are pointed out. 相似文献
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The vibrations of thin rectangular plate with geometrical nonlinearity are analyzed. The models of plate vibrations with different numbers of degrees-of-freedom are derived. It is deduced that two degrees-of-freedoms are enough to describe low-frequency nonlinear dynamics of plates. Nonlinear normal modes are used to analyze the system dynamics. If vibrations amplitudes are increased, single-mode plate vibrations are transformed into two mode ones. In this case, internal resonance conditions are not observed. Such transformation of vibration is described using Kauderer?CRosenberg nonlinear normal modes. 相似文献
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Creeping flow equations of a second grade fluid are considered. Two current approximate symmetry methods and a modified new one are applied to the equations of motion. Approximate symmetries obtained by different methods and the exact symmetries are contrasted. Approximate solutions corresponding to the approximate symmetries are derived for each method. Symmetries and solutions are compared and advantages and disadvantages of each method are discussed in detail. 相似文献
9.
E. F. Toro 《国际流体数值方法杂志》1986,6(7):479-493
Numerical computations of non-linear gravity waves are presented and the effects of mesh variations on the results are discussed. Waves are regarded as two-parameter families (λ,A)Q of arbitrary discharge Q, and computations are carried out using a new Kantorovich algorithm. Mesh effects are to a large extent dependent on the particular wave region under consideration. Three such regions are identified and typical examples are computed and discussed. 相似文献
10.
S. P. Kiselev 《Journal of Applied Mechanics and Technical Physics》2014,55(3):470-493
The basic principles of the method of molecular dynamics are analyzed. Symplectic difference schemes for the numerical solution of molecular dynamics equations are considered. Stability is studied, and the errors in the energy conservation law, which are induced by using these schemes, are estimated. Equations of mechanics of continuous media are derived by means of averaging over the volume of an atomic system. Expressions for the stress tensor are obtained by using the virial principle and the method of averaging over the volume. The principles of construction of EAM and MEAM potentials of atomic interaction in crystals are analyzed. Two problems of fracture of copper-molybdenum composites are solved by the method of molecular dynamics. 相似文献
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A topology optimization method from truss-like continua to perforated continua is studied, which is based on the concept of force transmission paths. The force transmission paths are optimized utilizing a truss-like material model. In the optimization procedure, parts of the force transmission paths are removed. Finally, perforated optimal continua are formed by further optimizing the material distribution field. No intermediate densities are suppressed; therefore, no additional technique is involved and no numerical instabilities are created. Structural topologies are presented using material distribution fields rather than the 'existence' or 'inexistence' of elements. More detailed structures are obtained utilizing less dense elements. 相似文献
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Paul Seide 《International Journal of Non》1977,12(6):397-406
The Föppl large deflection equations for laterally loaded membranes are solved for uniform load and for edges which are fixed normal to the edge but are free to move parallel to the edge. Both the deflection function and the Airy stress function are expanded in Fourier series. The resulting coupled non-linear cubic equations for the deflection function coefficients are truncated and solved by means of an iterative procedure. Results for the center normal deflection and the stress resultants at selected points are calculated with the use of 100 or more equations and are found to differ significantly from the previously accepted approximate results. 相似文献
15.
Various methods used to determine the shock Hugoniot of condensed phase multi-component mixtures are reviewed and compared
to available experimental data. The assumptions inherent in the different models are presented in this overview and their
implications are discussed. The comparisons of the various models demonstrate that the predicted shock Hugoniots are in good
agreement with published data despite the simplifying assumptions that are associated with the models. Averaging models are
shown to be among the simplest methods to implement and result in the closest agreement with experimental data. 相似文献
16.
Three generalizations of classical hydrodynamic theories that are compatible with equilibrium thermodynamics and that are suitable for an appropriate macroscopic dynamical theory of polymeric liquids are considered. The strain tensor, the stress tensor and the chain segment distribution function (introduced in the network theory of polymeric liquids) are accepted as new state variables. We find that the generalized hydrodynamic equations are compatible with equilibrium thermodynamics provided certain conditions restricting the freedom of choice of constitutive relations are satisfied. In some particular cases the conditions are known from other considerations. We say that a dynamical theory is compatible with equilibrium thermodynamics, or equivalently, that it obeys the entropy principle if the properties listed in section 2.1 are satisfied. 相似文献
17.
Ping Xu 《Transport in Porous Media》2017,120(2):415-432
Wave numbers about the three types of waves in saturated soils are firstly given in this paper. The lengths of the pipe piles are much larger than their diameters, so the isolation problem about SV waves by discontinuous barriers composed of a row of pipe piles can be simplified as a two-dimensional scattering problem. The expansion method of wave functions is adopted, the stresses and displacements at the boundaries between the pipe piles and adjacent soils are considered as continuous and the inner sides of the pipe piles are free, and then the theoretical solutions are obtained about this two-dimensional scattering problem. Normalized displacements are introduced, which are the displacements behind the barriers caused by both the incident and scattered waves to those only by the incident SV waves, contours and curves of the normalized displacements are drawn, and the influences of wall thickness of pipe piles, modulus ratio of pipe piles to soils, spacing distance between the pipe piles and pipe pile numbers on the isolation effectiveness are analyzed. 相似文献
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Nonlinear waves on liquid sheets between thin infinite elastic plates are studied analytically and numerically. Linear and nonlinear models are used for the elastic plates coupled to the Euler equations for the fluid. One-dimensional time-dependent equations are derived based on a long-wavelength approximation. Inertia of the elastic plates is neglected, so linear perturbations are stable. Symmetric and mixed-mode travelling waves are found with the linear plate model and symmetric travelling waves are found for the nonlinear case. Numerical simulations are employed to study the evolution in time of initial disturbances and to compare the different models used. Nonlinear effects are found to decrease the travelling wave speed compared with linear models. At sufficiently large amplitude of initial disturbances, higher order temporal oscillations induced by nonlinearity can lead to thickness of the liquid sheet approaching zero. 相似文献
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DYNAMICSTRESSINTENSITYFACTORSAROUNDTWOCRACKSNEARANINTERFACEOFTWODISSIMILARELASTICHALF-PLANESUNDERIN-PLANESHEARIMPACTLOADQianR... 相似文献