共查询到20条相似文献,搜索用时 31 毫秒
1.
In this paper, three-dimensional Brownian dynamics simulation has been conducted for dilute micellar surfactant solution under
a steady shear flow. The rodlike micelle in surfactant solution is assumed as a rigid rod made up of lined-up beads. The Lennard–Jones
potential and soft-sphere potential are employed and taken as the inter-bead potentials for end–end beads and interior–interior
beads, respectively. The motion of the rodlike micelles is determined by solving the translational and rotational equations
for each rod under hydrodynamic drag force, Brownian force and inter-rod potential force. Velocity Verlet algorithm has also
been exerted in the simulation. The micellar network structure is formed at low shear rates and destroyed by high shear rates.
The computed shear viscosities and the first normal stress coefficient represent shear thinning characteristics. The paper
reveals the relation between rheology and microstructure of surfactant solution at different shear rates. The effect of surfactant
solution concentration rested on the micellar structures and rheological properties has also been investigated. 相似文献
2.
V. V. Kalashnikov M. I. Karyakin 《Journal of Applied Mechanics and Technical Physics》2006,47(6):879-885
The torsion problem of a circular nonlinear elastic rod loaded by end moments is considered. The solution constructed by the
method of successive approximations taking into account second-order effects is compared with the solution obtained by a semi-inverse
method. It is shown that the dead-loading assumption breaks the symmetry of the Cauchy stress tensor in a certain region.
A refined formulation of Saint Venant’s principle is proposed for the problem of determining integral strain characteristics.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 47, No. 6, pp. 129–136, November–December, 2006. 相似文献
3.
We apply the asymptotic analysis procedure to the three-dimensional static equations of piezoelectricity, for a linear nonhomogeneous anisotropic thin rod. We prove the weak convergence of the rod mechanical displacement vectors and the rod electric potentials, when the diameter of the rod cross-section tends to zero. This weak limit is the solution of a new piezoelectric anisotropic nonhomogeneous rod model, which is a system of coupled equations, with generalized Bernoulli–Navier equilibrium equations and reduced Maxwell–Gauss equations. 相似文献
4.
N. S. Astapov 《Journal of Applied Mechanics and Technical Physics》1999,40(3):535-538
A compact algorithm is proposed for exact calculation of the coordinates of the plane elastic line of an axially compressed
flexible rod under any loads. Refined approximate formulas are obtained for calculation of the coordinates of the elastic
line with an error not greater than 1% of the rod length even for loads which exceed the critical Euler load by 30%.
Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090. Translated from
Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No. 3, pp. 200–203, May–June, 1999. 相似文献
5.
Dynamic deformation of a thermoviscoelastic rod of triangular cross section in a coupled formulation
A. D. Chernyshev 《Journal of Applied Mechanics and Technical Physics》2007,48(4):577-590
For the coupled model of a thermoviscoelastic rod of equilateral triangular cross section, two exact solutions are obtained
for the cases where a normal displacement and a shear stress or a tangential displacement and a normal stress are specified
on the lateral surface of the rod. A dimensionless parameter R0 is introduced to judge the appropriateness of taking into account the coupling in the formulation of the problem. Formulas
are given for the velocities and lengths of the temperature, shear, and longitudinal waves, which can be used in experiments
to determine the physical properties of thermoviscoelastic materials.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 48, No. 4, pp. 128–143, July–August, 2007. 相似文献
6.
L. I. Shkutin 《Journal of Applied Mechanics and Technical Physics》2006,47(2):282-288
The problem of a rod and a plate subjected to plane strain in the interval of the direct phase transformation is formulated
as a nonlinear boundary-value thermoelastic problem with an implicit dependence on temperature (through a phase parameter
simulating the volume fraction of new-phase crystals). An analytical solution of the problem of a rod bent into a ring and
a plate bent into a tube as a result of phase strains under the action of a small end bending moment is given. A numerical
analysis of the buckling problem of a titanium nickelide (alloy) rod (plate) under longitudinal compression in the interval
of the direct phase transformation shows that buckling becomes possible if the compressive load is much lower than the Euler
critical load calculated before the transformation. Branches of buckled equilibrium states corresponding to loads lower than
the Euler load are plotted as functions of the phase parameter. In all cases considered, the deflections increase abruptly
in the neighborhood of the critical points. The evolution of buckling modes is studied, and the phase-strain distributions
along the rod (plate) are shown.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 47, No. 2, pp. 156–164, March–April, 2006. 相似文献
7.
Cornelia Schwarz Franz D. Fischer Ewald Werner Hans J. Dirschmid 《Archive of Applied Mechanics (Ingenieur Archiv)》2010,80(1):3-24
The longitudinal motion of an elastic rod is studied for the case that the rod is suddenly elastically fixed at one end and
is hit by a mass at its other end. This configuration represents real settings e.g. as a valve impacts an elastic valve-seat
or as a stamping device used in forging is hit by a large mass. The solution of the problem is formulated in the Laplace transformation
space. The inverse transformation into the time domain is performed by engaging the so-called Laguerre polynomial technique.
This method allows to calculate exact solutions for finite times from a finite number of series elements. Rigorous mathematical
proofs not established up to now are given with respect to the convergence of the series encountered and the validity of exchanging
the order of inversion of the Laplace transformation and summation of the established series. For comparison also a numerical
solution of the problem is presented. An analysis of the energy transfer between rod, impacting mass and elastic barrier elucidates
the marked influence of the deformability of the elastic barrier on the stress state in the rod. 相似文献
8.
V. V. Kuznetsov S. V. Levyakov 《Journal of Applied Mechanics and Technical Physics》2000,41(3):544-546
The stability of the postcritical states of equilibrium of a flexible rod with clamped ends loaded by an axial force is analyzed.
It is shown that the existing Lagrange elliptic-integral solution has bifurcation points and branches of solution that have
not been investigated thus far.
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 41, No. 3, pp. 184–186, May–June, 2000. 相似文献
9.
A. A. Bityurin 《Journal of Applied Mechanics and Technical Physics》2011,52(4):530-535
A longitudinal elastic central impact of a system of a constant-section and stepwise rods on a rigid target is modeled by
an exact analytical solution of the differential wave equation by the D’Alembert method with imposing appropriate initial
and boundary conditions. Based on the Euler formula, an analytical expression is derived for calculating the critical velocity
at which buckling of the rod system occurs. 相似文献
10.
G. M. Chernomashentsev 《Fluid Dynamics》1988,23(5):792-794
An exact solution of the Cauchy problem is constructed for the equation describing the three-dimensional molecular diffusion
of a gas. The result obtained is a natural generalization of the solution of the analogous Boussinesq problem.
Dnepropetrovsk. Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 178–180, September–October,
1988. 相似文献
11.
An exact solution is obtained for the problem of steady-state viscous incompressible flow under a pressure difference in the
gap between coaxial cylinders for the case where the inner cylinder rotates at a constant angular velocity. The solution differs
from the classical Couette-Poiseuille result by the presence of radial mass transfer, which provides for interaction between
the poloidal and azimuthal circulations. The flow rate is found to depend linearly on the angular velocity of rotation of
the inner cylinder.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 48, No. 5, pp. 71–77, September–October, 2007. 相似文献
12.
We establish a condition for the existence and uniqueness of a periodic solution of a system of nonlinear integro-differential
equations with pulse action. The solution is represented as the limit of periodic iterations. We give estimates for the rate
of convergence and for the exact solution of the system.
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Translated from Neliniini Kolyvannya, Vol. 8, No. 4, pp. 553–573, October–December, 2005. 相似文献
13.
A. F. Ulitko 《International Applied Mechanics》2005,41(9):1007-1015
An exact solution is obtained for a Stokes flow in a right-angle wedge. The flow is kinematically excited at the bottom edge
and discontinues at the corner point
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Translated from Prikladnaya Mekhanika, Vol. 41, No. 9, pp. 60–69, September 2005. 相似文献
14.
Yu. M. Volchkov 《Journal of Applied Mechanics and Technical Physics》2000,41(5):945-949
Numerical techniques are proposed for determining the integral characteristics of penetration of a rod into an target. An
algorithm for solving two-dimensional elastoplastic problems is employed. To construct the solution, a one-dimensional finite-element
column is used (a two-dimensional domain is replaced by a one-dimensional domain).
Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090. Translated from
Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 41, No. 5, pp. 205–210, September–October, 2000. 相似文献
15.
R. G. Yakupov 《Journal of Applied Mechanics and Technical Physics》2007,48(2):241-249
The wave processes in a semi-infinite rod located in an elastic medium and subjected to a point load moving at a constant
velocity are considered. The system of two differential equations of motion of Timoshenko beam theory is solved using the
Laplace transform in time. The integrals obtained are determined numerically. Variation of the bending moment on the longitudinal
coordinate behind the elastic-wave front and the region of action of the point force at various times is shown. The results
of the solution are influence functions.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 48, No. 2, pp. 112–122, March–April, 2007. 相似文献
16.
A. O. Vatul’yan A. N. Solov’ev 《Journal of Applied Mechanics and Technical Physics》1999,40(3):539-544
A method is proposed for determination of the depolarization function of a rod of piezoelectric ceramics for a specified amplitude-frequency
characteristic of the current. The problem is reduced to a nonlinear integral equation solved by means of a combination of
Tikhonov’s linearization and regularization methods. The uniqueness of the solution is shown and a series of numerical experiments
is carried out with the aim to determine the polarization law.
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No. 3, pp. 204–210, May–June, 1999. 相似文献
17.
Although there is an extensive literature on the linearization instability of the nonlinear system of partial differential
equations that governs an elastic material, there are very few results that prove that a second branch of solutions actually
bifurcates from a known solution branch when the known branch becomes unstable. In this paper the implicit function theorem
in a Banach space setting is used to prove that the quasistatic compression of a rectangular elastic rod between rigid frictionless
plates leads to the buckling of the rod as is observed in experiment and as first predicted by Euler.
This work was supported in part by the National Science Foundation under Grant No. DMS–8810653 and DMS–0405646. 相似文献
18.
T. A. Bodnar' 《Journal of Applied Mechanics and Technical Physics》2000,41(4):745-751
The classical stability problem of a compressed hinged elastic rod rotating with constant angular velocity about the axis
that passes through the hinges is considered. It is assumed that the compressive force is constant and the line of its action
coincides with the axis of rotation of the rod. The stability of a solution of the nonlinear problem that describes deformation
of the rod under the action of the compressive force and the distributed centrifugal load is studied within the framework
of the stability theory of dynamic systems with distributed parameters. The buckling paramcters of the problem are determined.
Calculation results are given.
Technology Institute, Altai State Technical University, Biisk 659305. Translated from Prikladnaya Mekhanika i Tekhnicheskaya
Fizika, Vol. 41, No. 4, pp. 190–197, July–August, 2000. 相似文献
19.
Alex Elías-Züñiga 《Nonlinear dynamics》2007,49(1-2):307-315
The aim of this paper is to show how Jacobi elliptic functions in combination with the averaging and the harmonic balance
methods can be applied to obtain the approximate solution of two coupled, ordinary differential equations having a spring
with cubic nonlinearity and subjected to driving forces of elliptic type. By an appropriate choice of the system parameter
values, it is possible to show that our derived solution represents the exact steady-state solution of the undamped Duffing
equation with driving force of elliptic type. At the end of this work, we also demonstrate the validity of our derived solution
by comparing the amplitude–time response curves with those of the numerical integration solutions. 相似文献
20.
V. V. Kuznetsov S. V. Levyakov 《Journal of Applied Mechanics and Technical Physics》1999,40(6):1161-1162
The solution of the classical problem of the postcritical behavior of a compressed, simply supported rod is considered. The
stability of the well-known elastic solution that emanates from the first critical point is analyzed and new branches of the
states of equilibrium are found. The value of the force that corresponds to the secondary loss of stability is determined.
Chaplygin Siberian Aviation Institute, Novosibirsk 630054. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika,
Vol. 40, No. 6, pp. 184–185, November–December, 1999. 相似文献