共查询到20条相似文献,搜索用时 15 毫秒
1.
L. A. Tkacheva 《Journal of Applied Mechanics and Technical Physics》2005,46(5):754-765
The problem of the behavior of a floating elastic thin plate under periodic vibrations of a bottom segment is solved using a numerical procedure based on the Wiener-Hopf technique. The effects of the vibration frequency, the position of the vibrating bottom segment, and the fluid depth on the vibration frequencies of the fluid and plate are studied numerically.__________Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 5, pp. 166–179, September–October, 2005. 相似文献
2.
L. A. Tkacheva 《Fluid Dynamics》2005,40(2):282-296
The problem of the behavior of an elastic floating plate in the form of a strip under the action of a periodic surface load is solved using the Wiener-Hopf technique. The shortwave approximation is found in explicit form. The effect of the frequency and nature of the acting load on the vibration amplitudes of the fluid and the plate is investigated numerically. It is found that for certain loads no waves propagate in the fluid and the vibrations of the plate are localized in the neighborhood of the acting load. Conditions under which local vibration can be realized are found.__________Translated from Izvestiya Rossiiskoi Academii Nauk, Mekhanika Zhidkosti i Gaza, No. 2, 2005, pp. 132–146.Original Russian Text Copyright © 2005 by Tkacheva. 相似文献
3.
L. A. Tkacheva 《Fluid Dynamics》2003,38(3):465-481
The problem of the behavior of a floating elastic strip-shaped plate in waves is considered. A new numerical method for solving this problem based on the Wiener-Hopf technique is proposed. The solution of the boundary value problem is reduced to an infinite system of linear algebraic equations which satisfies the reduction conditions. The calculation results are compared both with experiment and with the calculations of other authors. In the case of short incident waves the system of equations obtained can be essentially simplified. Three short-wave approximations are proposed, namely, the single-mode, four-mode and uniform approximations, which ensure good agreement with calculations based on the complete model. Simple explicit formulas are obtained for the single-mode and uniform approximations. 相似文献
4.
Based on dynamical theories of water waves and dynamics of Mindlin thick plates,the investigation of the wave-induced responses and the vibration reduction of an elastic floating plate are presented using the Wiener-Hopf technique.Without regard to the case of elastic connector,the calculated results obtained by the present method are in good agreement with those from the literature and the experiment.It can be shown that the present method is valid.Relations between the spring stiffness to be used to connect the sea bottom and the floating plate and the parameters of wave-induced responses of floating plates are investigated using the present method.Therefore, these results can be used as theoretical bases for the design stage of super floating platform systems. 相似文献
5.
基于厚板理论分析深水域中弹性浮板的水波响应 总被引:1,自引:1,他引:0
基于线性水波理论和Mindlin厚板动力学理论,采用Wiener-Hopf 方法,研究了不同水深水面上弹性浮板在不同入射波数水波作用下的动力学响应问题。首先推导了无限深水域中弹性浮板水波响应的解析解,并将本文分析计算结果与采用其他方法(经典薄板理论)得到的计算结果进行了对比和分析;其次,采用本文方法研究了大型浮板在三种入射波数的水波作用下动弯矩幅值的分布情况;最后,根据其他文献的方法计算了不同水深(有限水深)情况下浮板的动响应,并与本文的计算结果进行了对比分析。 相似文献
6.
弹性矩形板问题的Hamilton正则方程 总被引:1,自引:0,他引:1
为了采用辛算法求出弹性矩形板问题的解析解,中直接从弹性矩形板的控制方程出发推导了弹性矩形板,其中包括弹性矩形薄板和厚板问题以及弹性地基上矩形薄板和厚板问题的Hamilton正则方程,为利用辛几何方法求出任意边界条件下这类问题的理论解奠定了基础. 相似文献
7.
I. I. Anik’ev M. I. Mikhailova E. A. Sushchenko 《International Applied Mechanics》2007,43(11):1264-1268
The behavior of a thin elastic plate with a rectilinear notch under the action a weak shock wave in air is studied experimentally.
A technique is developed for this purpose. The effect of the notch on the strain state of the plate is analyzed
__________
Translated from Prikladnaya Mekhanika, Vol. 43, No. 11, pp. 99–104, November 2007. 相似文献
8.
9.
Rajneesh Kumar Geeta Partap 《应用数学和力学(英文版)》2006,27(8):1049-1059
The propagation of waves in a homogeneous isotropic micropolar elastic cylindrical plate subjected to stress free conditions is investigated. The secular equations for symmetric and skew symmetric wave mode propagation are derived. At short wave limit, the secular equations for symmetric and skew symmetric waves in a stress free circular plate reduces to Rayleigh surface wave frequency equation. Thin plate results are also obtained. The amplitudes of displacements and microrotation components are obtained and depicted graphically. Some special cases are also deduced from the present investigations. The secular equations for symmetric and skew symmetric modes are also presented graphically. 相似文献
10.
Two-dimensional problem of periodic loading of an elastic plate floating on the surface of an infinitely deep fluid 总被引:2,自引:0,他引:2
The action of external periodic pressure on an elastic plate floating on the surface of a fluid assumed to be ideal and incompressible
is examined by the method of normal modes in the linear formulation. The behavior of the matrix of coefficients of the hydrodynamic
load on the plate is considered in detail for different frequencies. The behavior of the plate under localized periodic loading
is compared for the cases of a heavy fluid with a finite or infinite depth and for a weightless infinite-depth fluid.
__________
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 3, pp. 61–72, May–June, 2005. 相似文献
11.
In this paper, a semi-analytical model based on linear potential flow theory and an eigenfunction expansion method is developed to study wave scattering by a porous elastic plate with arbitrary shape floating in water of finite depth. The water domain is divided into the interior and exterior regions, corresponding to the domain beneath the plate and the rest extending towards infinite distance horizontally, respectively. The unknown coefficients in the potential expressions are determined by satisfying the continuity conditions for pressure and velocity at the interface of the two regions, together with the conditions for the motion/force at the edge of the plate, where the Fourier series expansion method is employed to deal with the terms associated with the radius function. A plate with three shapes – circular, cosine and elliptical – and three edge conditions are considered. We find that the largest deflection of the plate with a simply supported edge and a clamped edge is more sensitive to the change in porosity when the porosity is small. The power dissipated by an elliptical plate with its major axis perpendicular to the incident wave direction is the largest among the case studies for the majority of the porosity values tested. 相似文献
12.
《Wave Motion》2017
Measurements of the wave fields reflected and transmitted by a thin floating plastic plate are reported for regular incident waves over a range of incident periods (producing wavelengths comparable to the plate length) and steepnesses (ranging from mild to storm-like). Two different plastics are tested, with different densities and mechanical properties, and three different configurations are tested. The configurations include freely floating plates, loosely moored plates (to restrict drift), and plates with edge barriers (to restrict waves overwashing the plates). The wave fields reflected and transmitted by plates without barriers are shown to become irregular, as the incident waves become steeper, particularly for the denser plastic and the moored plate. Further, the proportion of energy transmitted by the plates without barriers is shown to decrease as the incident wave becomes steeper, and this is related to wave energy dissipation. 相似文献
13.
Based on an analysis of second-order hydrodynamic forces induced by coupling of first-order wave potentials, second-order hydroelastic equations are established and solved in the frequency domain. The responses of a very large floating structure in multidirectional irregular waves are studied. The characteristics of the difference and sum frequency coordinates are discussed in detail; peaks can be found at the difference and sum frequencies close to the wet resonant frequencies of each mode. We present and analyze the maximum vertical displacement of different points as well as the time history of the vertical displacements of selected points. The differences of the combined (the summation of the linear and non-linear responses) and linear displacements of the selected points are calculated. Our results demonstrate that non-linear fluid forces influence the total responses of the referenced floating structure. 相似文献
14.
The thermomechanical bending of an elastic sandwich ring plate with light core on an elastic foundation is considered. To
describe the kinematics of the plate that is asymmetric across the thickness, broken-normal hypotheses are accepted. The foundation
reaction is described by Winkler's model. A system of equilibrium equations is derived and solved for displacements. Numerical
results for a sandwich ring plate in a temperature field are presented
Translated from Prikladnaya Mekhanika, Vol. 44, No. 9, pp. 94–103, September 2008. 相似文献
15.
16.
17.
G. P. Gulgazaryan 《International Applied Mechanics》2008,44(5):534-554
The natural vibrations of a cantilever thin elastic orthotropic circular cylindrical shell are studied. Dispersion equations
for the determination of possible natural frequencies of cantilever closed shells and open shells with Navier hinged boundary
conditions at the longitudinal edges are derived from the classical dynamic theory of orthotropic cylindrical shells. It is
proved that there are asymptotic relationships between these problems and the problems for a cantilever orthotropic strip
plate and for a cantilever rectangular plate and the eigenvalue problem for a semi-infinite closed orthotropic cylindrical
shell with free end and for the same but open shell with Navier hinged boundary conditions at the longitudinal edges. A procedure
to identify types of vibrations is presented. Orthotropic cylindrical shells with different radii and lengths are used as
an example to find approximate values of the dimensionless natural frequency and damping factor for vibration modes
__________
Translated from Prikladnaya Mekhanika, Vol. 44, No. 5, pp. 68–91, May 2008. 相似文献
18.
19.
Zhang Yitong 《Acta Mechanica Solida Sinica》2002,15(3):236-243
Out-of-plane buckling of anisotropic elastic plate subjected to a simple shear is investigated. From exact 3-D equilibrium
conditions of anisotropic elastic body with a plane of elastic symmetry at critical configuration, the eqution for buckling
direction (buckling wave direction) parameter is derived and the shape functions of possible buckling modes are obtained.
The traction free boundary conditions which must hold on the upper and lower surfaces of plate lead to a linear eigenvalue
problem whose nontrivial solutions are just the possible buckling modes for the plate. The buckling conditions for both flexural
and barreling modes are presented.
As a particular example of buckling of anisotropic elastic plate, the buckling of an orthotropic elastic plate, which is subjected
to simple shear along a direction making an arbitrary angle of θ with respect to an elastic principal axis of materials, is
analyzed. The buckling direction varies with θ and the critical amount of shear. The numerical results show that only the
flexural mode can indeed exist.
Project supported by the National Natural Science Foundation of China (No. 19772032). 相似文献
20.
International Applied Mechanics - 相似文献