Log in

Relevant bibliographies by topics / Pasternak Foundation / Journal articles

To see the other types of publications on this topic, follow the link: Pasternak Foundation.

Journal articles on the topic 'Pasternak Foundation'

Author: Grafiati

Published: 4 June 2021

Last updated: 18 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Pasternak Foundation.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Paliwal, D. N., S. N. Sinha, and A. Ahmad. "Hypar Shell on Pasternak Foundation." Journal of Engineering Mechanics 118, no. 7 (July 1992): 1303–16. http://dx.doi.org/10.1061/(asce)0733-9399(1992)118:7(1303).

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Chen, Bing, Ming Le Deng, and Zhong Jun Yin. "Calculation Analysis of Natural Frequency of Pipe Conveying Fluid Resting on Pasternak Foundation." Advanced Materials Research 668 (March 2013): 589–92. http://dx.doi.org/10.4028/www.scientific.net/amr.668.589.

Full text

Abstract:

The complex mode method and Galerkin method are applied to analyze natural frequency of pinned-pinned Pipe conveying fluid resting on Pasternak foundation. Compared to the exact solution obtained by the complex mode method, the influence of Galerkin modal truncation to natural frequency is elaborated here, and the influence of Pasternak foundation’s shear stiffness, spring stiffness and mass parameter to truncation error are also focused on in this paper. It is concluded that, within specified flow velocity, the increasing of Pasternak foundation’s shear stiffness and spring stiffness will reduce the truncation error produced by Galerkin method, but, comparing with the former, the latter’s influence can be ignored. It is also founded that the truncation error will increase significantly with the increasing of the mass parameter.

APA, Harvard, Vancouver, ISO, and other styles

3

Wu, Nan, Yuzhen Zhao, Qing Guo, and Yongshou Liu. "The effect of two-parameter of Pasternak foundations on the dynamics and stability of multi-span pipe conveying fluids." Advances in Mechanical Engineering 12, no. 11 (November 2020): 168781402097453. http://dx.doi.org/10.1177/1687814020974530.

Full text

Abstract:

In this paper, the dynamics and stability of multi-span pipe conveying fluid embedded in Pasternak foundation is studied. Based on Euler-Bernoulli beam theory, the dynamics of multi-span pipe conveying fluid embedded in two parameters Pasternak foundation is analyzed. The dynamic stiffness method (DSM) is used to solve the control equation. A seven span pipe is calculated. The affection of two parameters of Pasternak foundation is mainly studied. Along with increasing the elastic stiffness K and shear stiffness G, the frequency is also increasing.

APA, Harvard, Vancouver, ISO, and other styles

4

Paliwal, D. N., S. N. Sinha, and B. K. Choudhary. "Shallow Spherical Shells on Pasternak Foundation." Journal of Engineering Mechanics 112, no. 2 (February 1986): 175–82. http://dx.doi.org/10.1061/(asce)0733-9399(1986)112:2(175).

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Shen, H.-S. "Postbuckling of composite laminated plates under biaxial compression combined with lateral pressure and resting on elastic foundations." Journal of Strain Analysis for Engineering Design 33, no. 4 (May 1, 1998): 253–61. http://dx.doi.org/10.1243/0309324981512977.

Full text

Abstract:

A postbuckling analysis is presented for a simply supported, composite laminated rectangular plate subjected to biaxial compression combined with lateral pressure and resting on a two-parameter (Pasternak-type) elastic foundation. The initial geometrical imperfection of the plate is taken into account. The formulations are based on the classical laminated plate theory, including plate-foundation interaction. The analysis uses a perturbation technique to determine the buckling loads and postbuckling equilibrium paths. Numerical examples are presented that relate to the performances of antisymmetric angle-ply and symmetric cross-ply laminated plates subjected to combined loading and resting on Pasternak-type elastic foundations from which results for Winkler elastic foundations are obtained as a limiting case. The influence played by a number of effects, among them foundation stiffness, the plate aspect ratio, the total number of plies, fibre orientation and initial lateral pressure, is studied. Typical results are presented in dimensionless graphical form.

APA, Harvard, Vancouver, ISO, and other styles

6

Poorooshasb, H. B., S. Pietruszczak, and B. Ashtakala. "An Extension of the Pasternak Foundation Concept." Soils and Foundations 25, no. 3 (September 1985): 31–40. http://dx.doi.org/10.3208/sandf1972.25.3_31.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Cai, Wei, Wen Chen, and Wenxiang Xu. "Fractional modeling of Pasternak-type viscoelastic foundation." Mechanics of Time-Dependent Materials 21, no. 1 (June 21, 2016): 119–31. http://dx.doi.org/10.1007/s11043-016-9321-0.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Shah, Abdul Ghafar, Tahir Mahmood, Muhammad Nawaz Naeem, and Shahid Hussain Arshad. "Vibrational Study of Fluid-Filled Functionally Graded Cylindrical Shells Resting on Elastic Foundations." ISRN Mechanical Engineering 2011 (April 26, 2011): 1–13. http://dx.doi.org/10.5402/2011/892460.

Full text

Abstract:

Vibrational characteristics of functionally graded cylindrical shells filled with fluid and placed on Winkler and Pasternak elastic foundations are investigated. Love's thin-shell theory is utilized for strain-displacement and curvature-displacement relationships. Shell dynamical equations are solved by using wave propagation approach. Natural frequencies for both empty and fluid-filled functionally graded cylindrical shells based on elastic foundations are determined for simply-supported boundary condition and compared to validate the present technique. Results obtained are in good agreement with the previous studies. It is seen that the frequencies of the cylindrical shells are affected much when the shells are filled with fluid, placed on elastic foundations, and structured with functionally graded materials. The influence of Pasternak foundation is more pronounced than that of Winkler modulus.

APA, Harvard, Vancouver, ISO, and other styles

9

Jimoh, Ahamed, and Emmanuel Omeiza Ajoge. "Exponentially Varying Load on Rayleigh Beam Resting on Pasternak Foundation." JOURNAL OF ADVANCES IN MATHEMATICS 16 (July 1, 2019): 8449–58. http://dx.doi.org/10.24297/jam.v16i0.8219.

Full text

Abstract:

This paper investigates the dynamic behavior of uniform Rayleigh beam resting on Pasternak foundation and subjected to exponentially varying magnitude moving the load. The solution techniques are based on finite Fourier sine transformed Laplace transformation and convolution theorem. The results show that for a fixed value of axial force, damping coefficient and rotatory inertia, increases in shear modulus and foundation modulus reduces the response amplitude of the dynamical system. It was also found that increases in axial force, rotary inertia, and damping coefficient for fixed values of shear modulus and foundation modulus lead to decreases in the deflection profile of the Rayleigh beam resting on Pasternak foundation. Finally, it was found that the effect of shear modulus is more noticeable that of the foundation modulus.

APA, Harvard, Vancouver, ISO, and other styles

10

Shi, X. P., T. F. Fwa, and S. A. Tan. "Warping Stresses in Concrete Pavements on Pasternak Foundation." Journal of Transportation Engineering 119, no. 6 (November 1993): 905–13. http://dx.doi.org/10.1061/(asce)0733-947x(1993)119:6(905).

Full text

APA, Harvard, Vancouver, ISO, and other styles

11

Güler, Kadir. "Circular Elastic Plate Resting on Tensionless Pasternak Foundation." Journal of Engineering Mechanics 130, no. 10 (October 2004): 1251–54. http://dx.doi.org/10.1061/(asce)0733-9399(2004)130:10(1251).

Full text

APA, Harvard, Vancouver, ISO, and other styles

12

Arani, A. Ghorbanpour, Z. Khoddami Maraghi, and H. Khani Arani. "Orthotropic patterns of Pasternak foundation in smart vibration analysis of magnetostrictive nanoplate." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 230, no. 4 (April 9, 2015): 559–72. http://dx.doi.org/10.1177/0954406215579929.

Full text

Abstract:

In this research, free vibration of rectangular nanoplate made of magnetostrictive materials is studied while it is focused on elastic medium as an efficient stability factor. For this purpose, Pasternak foundation is developed by considering orthotropy angle where the effect of Pasternak shear modulus is investigated in different directions. Since the nanoplate is subjected to the coil, a feedback control system follows the effects of uniform magnetic field on vibration characteristics of magnetostrictive nanoplate. So, Reddy’s third-order shear deformation theory along with Eringen’s nonlocal continuum model are utilized in order to derive motion equations at nanoscale using Hamilton’s principle. Five coupled motion equations solved by differential quadrature method in two-dimensional space by considering different boundary conditions. Results indicate that with appropriative selection for orthotropy angle, normal, and shear Pasternak foundation modulus, it is possible to achieve optimal and desire values to more stability of magnetostrictive nanoplate. These findings can be used in automotive industry, communications equipment in nano- and microstructures.

APA, Harvard, Vancouver, ISO, and other styles

13

Fiedler, Josef, and Tomáš Koudelka. "Nonlinear Behaviour of Concrete Foundation Slab." Applied Mechanics and Materials 821 (January 2016): 495–502. http://dx.doi.org/10.4028/www.scientific.net/amm.821.495.

Full text

Abstract:

A layered model is used for nonlinear analysis of a foundation concrete slab. Calculation is performed using interaction with elastic Winkler-Pasternak subsoil model and considering plastic yielding of slab layers. Two Drucker-Prager yield criterions define a nonlinear material model for concrete. Computation is done by the SIFEL solver using the Finite Element Method.

APA, Harvard, Vancouver, ISO, and other styles

14

Pratap Singh, Piyush, Mohammad Sikandar Azam, and Vinayak Ranjan. "Vibration analysis of a thin functionally graded plate having an out of plane material inhomogeneity resting on Winkler–Pasternak foundation under different combinations of boundary conditions." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 233, no. 8 (August 27, 2018): 2636–62. http://dx.doi.org/10.1177/0954406218796040.

Full text

Abstract:

In the present research article, classical plate theory has been adopted to analyze functionally graded material plate, having out of plane material inhomogeneity, resting on Winkler–Pasternak foundation under different combinations of boundary conditions. The material properties of the functionally graded material plate vary according to power law in the thickness direction. Rayleigh–Ritz method in conjugation with polynomial displacement functions has been used to develop a computationally efficient mathematical model to study free vibration characteristics of the plate. Convergence of frequency parameters (nondimensional natural frequencies) has been attained by increasing the number of polynomials of displacement function. The frequency parameters of the functionally graded material plate obtained by proposed method are compared with the open literature to validate the present model. Firstly, the present model is used to calculate first six natural frequencies of the functionally graded plate under all possible combinations of boundary conditions for the constant value of stiffness of Winkler and Pasternak foundation moduli. Further, the effects of density, aspect ratio, power law exponent, Young’s modulus on frequency parameters of the functionally graded plate resting on Winkler–Pasternak foundation under specific boundary conditions viz. CCCC (all edges clamped), SSSS (all edges simply supported), CFFF (cantilever), SCSF (simply supported-clamped-free) are studied extensively. Furthermore, effect of stiffness of elastic foundation moduli (kp and kw) on frequency parameters are analyzed. It has been observed that effects of aspect ratios, boundary conditions, Young’s modulus and density on frequency parameters are significant at lower value of the power law exponent. It has also been noted from present investigation that Pasternak foundation modulus has greater effect on frequency parameters as compared to the Winkler foundation modulus. Most of the results presented in this paper are novel and may be used for the validation purpose by researchers. Three dimensional mode shapes for the functionally graded plate resting on elastic foundation have also been presented in this article.

APA, Harvard, Vancouver, ISO, and other styles

15

Cao, Tan Ngoc Than, Van Hai Luong, Hoang Nhi Vo, Xuan Vu Nguyen, Van Nhut Bui, Minh Thi Tran, and Kok Keng Ang. "A Moving Element Method for the Dynamic Analysis of Composite Plate Resting on a Pasternak Foundation Subjected to a Moving Load." International Journal of Computational Methods 16, no. 08 (August 29, 2019): 1850124. http://dx.doi.org/10.1142/s0219876218501244.

Full text

Abstract:

The paper proposes a computational approach to simulate the dynamic responses of composite plate resting on a Pasternak foundation subjected a moving load using the moving element method (MEM). The plate element stiffness matrix is formulated in a coordinate system which moves with the load. The main convenience is that the load is static in this coordinate system, which avoids the updating of the load locations due to the change of the contact points with the elements. The effects of the Pasternak foundation, energy dissipation mechanisms, load’s velocity, material properties on the dynamic responses of the composite plates are investigated.

APA, Harvard, Vancouver, ISO, and other styles

16

KOZEL, Anastasiya G. "COMPARISON OF SOLUTIONS TO THE BENDING PROBLEMS OF THREE-LAYER PLATES ON THE WINKLER AND PASTERNAK FOUNDATIONS." Mechanics of Machines, Mechanisms and Materials 1, no. 54 (March 2021): 30–37. http://dx.doi.org/10.46864/1995-0470-2021-1-54-30-37.

Full text

Abstract:

Solutions of problems on axisymmetric bending of an elastic three-layer circular plate on the Winkler and Pasternak foundations are given. The bearing layers are taken as isotropic, for which Kirchhoff’s hypotheses are fulfilled. In a sufficiently thick lightweight, incompressible in thickness aggregate, the Timoshenko model is valid. The cylindrical coordinate system, in which the statements and solutions of boundary value problems are carried out, is connected with the median plane of the filler. On the plate contour, it is assumed that there is a rigid diaphragm that prevents the relative shear of the layers. The system of differential equations of equilibrium is obtained by the variational method. Three types of boundary conditions are formulated. One- and two-parameter Winkler and Pasternak models are used to describe the reaction of an elastic foundation. The solution to the boundary value problem is reduced to finding three desired functions, plate deflection, shear, and radial displacement in the filler. The general analytical solution to the boundary value problem is written out in the case of the Pasternak model in Bessel functions. At the Winkler foundation, the known solution is given in Kelvin functions. A numerical comparison of the displacements and stresses obtained by both models with a uniformly distributed load and rigid sealing of the plate contour is carried out.

APA, Harvard, Vancouver, ISO, and other styles

17

Bahmyari, Ehsan, Mohammad Mahdi Banatehrani, Mohammad Ahmadi, and Marzieh Bahmyari. "Vibration Analysis of Thin Plates Resting on Pasternak Foundations by Element free Galerkin Method." Shock and Vibration 20, no. 2 (2013): 309–26. http://dx.doi.org/10.1155/2013/532913.

Full text

Abstract:

The element free Galerkin method is used to analyze free vibration of thin plates resting on Pasternak elastic foundations with all possible types of classical boundary conditions. Convergence of solution is studied by increasing number of nodes for different boundary conditions and foundation parameters. Upon comparison with available results in literature, it was found that the method converges very fast and has very good accuracy even with small number of nodes. Applicability of the method was shown by solving numerical examples with all possible combinations of boundary conditions and different values of foundation parameters.

APA, Harvard, Vancouver, ISO, and other styles

18

Pavlovic, Ratko, and Ivan Pavlovic. "Dynamic stability of Timoshenko beams on Pasternak viscoelastic foundation." Theoretical and Applied Mechanics 45, no. 1 (2018): 67–81. http://dx.doi.org/10.2298/tam171103005p.

Full text

Abstract:

The dynamic stability problem of a Timoshenko beam supported by a generalized Pasternak-type viscoelastic foundation subjected to compressive axial loading, where rotary inertia is neglected, is investigated. Each axial force consists of a constant part and a time-dependent stochastic function. By using the direct Liapunov method, bounds of the almost sure asymptotic stability of a beam as a function of viscous damping coefficient, variance of the stochastic force, shear correction factor, parameters of Pasternak foundation, and intensity of the deterministic component of axial loading are obtained. With the aim of justifying the use of the direct Liapunov method analytical results are firstly compared with numerically obtained results using Monte Carlo simulation method. Numerical calculations are further performed for the Gaussian process with a zero mean as well as a harmonic process with random phase. The main purpose of the paper is to point at significance damping parameter of foundation on dynamic stability of the structure.

APA, Harvard, Vancouver, ISO, and other styles

19

Peng, Li, and Ying Wang. "Free Vibrations of Beams on Viscoelastic Pasternak Foundations." Applied Mechanics and Materials 744-746 (March 2015): 1624–27. http://dx.doi.org/10.4028/www.scientific.net/amm.744-746.1624.

Full text

Abstract:

This paper investigates free transverse vibrations of finite Euler–Bernoulli beams resting on viscoelastic Pasternak foundations. The differential quadrature methods (DQ) are applied directly to the governing equations of the free vibrations. Under the simple supported boundary condition, the natural frequencies of the transverse vibrations are calculated, and compared with the results of the complex mode analysis method. The numerical results obtained by using the DQ and the complex mode methods are in good agreement for the first seven order natural frequencies, but with the growth of the orders, the small quantitative differences between them increase. The effects of the foundation parameters on the natural frequencies are also studied in numerical examples.

APA, Harvard, Vancouver, ISO, and other styles

20

Zenkour, Ashraf M., and A. H. Al-Subhi. "Thermal Vibrations of a Graphene Sheet Embedded in Viscoelastic Medium based on Nonlocal Shear Deformation Theory." Volume 24, No 3, September 2019 24, no. 3 (September 2019): 485–93. http://dx.doi.org/10.20855/ijav.2019.24.31342.

Full text

Abstract:

The nonlocal first-order shear deformation plate theory is used to present the thermal vibration of a single-layered graphene sheet (SLGS) resting on a viscoelastic foundation. The viscous damping term is added to the elastic foundation to get a three-parameter visco-Pasternak medium. The nonlocal shear deformation theory is applied to obtain the equations of motion of the simply-supported SLGSs. The effects of the nonlocal parameter as well as the length of the SLGS, mode numbers, three-parameters of the foundation, and the thermal parameter are discussed carefully for the vibration problem. The validation of the present frequencies is discussed with excellent comparison to the existing literature. For future comparisons, additional thermal vibration results of SLGSs are investigated to take into consideration the effects of thermal, nonlocal, and visco-Pasternak mediums.

APA, Harvard, Vancouver, ISO, and other styles

21

WANG, L., and Q. NI. "LARGE-AMPLITUDE FREE VIBRATIONS OF FLUID-CONVEYING PIPES ON A PASTERNAK FOUNDATION." International Journal of Structural Stability and Dynamics 08, no. 04 (December 2008): 615–26. http://dx.doi.org/10.1142/s0219455408002843.

Full text

Abstract:

The large-amplitude free vibration problem of uniform slender pipes conveying fluid on a Pasternak foundation is studied using the principle of conservation of total energy. The temporal equation governing the large-amplitude vibrations is directly obtained from this approach by assuming a suitable admissible spatial function that satisfies the boundary conditions of the pipes. It is solved by using a standard numerical integration scheme. The numerical results, in the form of the ratio of the fundamental nonlinear frequency to the linear frequency for both the simply supported and clamped pipes conveying fluid, are presented in tables and figures for various amplitude parameters, flowing velocities of the internal fluid, and the two stiffness parameters of the Pasternak foundation.

APA, Harvard, Vancouver, ISO, and other styles

22

Fwa, T. F., X. P. Shi, and S. A. Tan. "Use of Pasternak Foundation Model in Concrete Pavement Analysis." Journal of Transportation Engineering 122, no. 4 (July 1996): 323–28. http://dx.doi.org/10.1061/(asce)0733-947x(1996)122:4(323).

Full text

APA, Harvard, Vancouver, ISO, and other styles

23

Shi, X. P., S. A. Tan, and T. F. Fwa. "Rectangular Thick Plate with Free Edges on Pasternak Foundation." Journal of Engineering Mechanics 120, no. 5 (May 1994): 971–88. http://dx.doi.org/10.1061/(asce)0733-9399(1994)120:5(971).

Full text

APA, Harvard, Vancouver, ISO, and other styles

24

Wang, C. M., Y. Xiang, and Q. Wang. "Axisymmetric Buckling of Reddy Circular Plates on Pasternak Foundation." Journal of Engineering Mechanics 127, no. 3 (March 2001): 254–59. http://dx.doi.org/10.1061/(asce)0733-9399(2001)127:3(254).

Full text

APA, Harvard, Vancouver, ISO, and other styles

25

Kondratov, Dmitry V., Lev I. Mogilevich, Victor S. Popov, and Anna A. Popova. "Hydroelastic oscillation of a plate resting on Pasternak foundation." Vibroengineering PROCEDIA 12 (June 30, 2017): 102–8. http://dx.doi.org/10.21595/vp.2017.18358.

Full text

APA, Harvard, Vancouver, ISO, and other styles

26

EL-MOUSLY, M. "FUNDAMENTAL FREQUENCIES OF TIMOSHENKO BEAMS MOUNTED ON PASTERNAK FOUNDATION." Journal of Sound and Vibration 228, no. 2 (November 1999): 452–57. http://dx.doi.org/10.1006/jsvi.1999.2464.

Full text

APA, Harvard, Vancouver, ISO, and other styles

27

Zhang, Wang-Xi, Wei-Lei Lv, Jin-Yi Zhang, Xiong Wang, Hyeon-Jong Hwang, and Wei-Jian Yi. "Energy-based dynamic parameter identification for Pasternak foundation model." Earthquake Engineering and Engineering Vibration 20, no. 3 (July 2021): 631–43. http://dx.doi.org/10.1007/s11803-021-2043-6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

28

Amirian, B., R. Hosseini-Ara, and H. Moosavi. "Thermo-Mechanical Vibration of Short Carbon Nanotubes Embedded in Pasternak Foundation Based on Nonlocal Elasticity Theory." Shock and Vibration 20, no. 4 (2013): 821–32. http://dx.doi.org/10.1155/2013/281676.

Full text

Abstract:

This study is concerned with the thermal vibration analysis of a short single-walled carbon nanotube embedded in an elastic medium based on nonlocal Timoshenko beam model. A Winkler- and Pasternak-type elastic foundation is employed to model the interaction of short carbon nanotubes and the surrounding elastic medium. Influence of all parameters such as nonlocal small-scale effects, high temperature change, Winkler modulus parameter, Pasternak shear parameter, vibration mode and aspect ratio of short carbon nanotubes on the vibration frequency are analyzed and discussed. The present study shows that for high temperature changes, the effect of Winkler constant in different nonlocal parameters on nonlocal frequency is negligible. Furthermore, for all temperatures, the nonlocal frequencies are always smaller than the local frequencies in short carbon nanotubes. In addition, for high Pasternak modulus, by increasing the aspect ratio, the nonlocal frequency decreases. It is concluded that short carbon nanotubes have the higher frequencies as compared with long carbon nanotubes.

APA, Harvard, Vancouver, ISO, and other styles

29

CİVALEK, ÖMER. "LARGE DEFLECTION STATIC AND DYNAMIC ANALYSIS OF THIN CIRCULAR PLATES RESTING ON TWO-PARAMETER ELASTIC FOUNDATION: HDQ/FD COUPLED METHODOLOGY APPROACHES." International Journal of Computational Methods 02, no. 02 (June 2005): 271–91. http://dx.doi.org/10.1142/s0219876205000478.

Full text

Abstract:

An analysis of the geometrically nonlinear dynamics of thin circular plates on a two parameter elastic foundation is presented in this paper. The nonlinear partial differential equations obtained from von Karman's large deflection plate theory have been solved by using the harmonic differential quadrature method in the space domain and the finite difference numerical integration method in the time domain. Winkler-Pasternak foundation model is considered and the influence of stiffness of Winkler (K) and Pasternak (G) foundation on the geometrically nonlinear analysis of the circular plates has been investigated. Numerical examples demonstrate the satisfactory accuracy, efficiency and versatility of the presented approach. From the numerical computation, it can be concluded that the present coupled methodology is an efficient method for the nonlinear static and dynamic analysis of circular plates with or without an elastic medium.

APA, Harvard, Vancouver, ISO, and other styles

30

YU, YONGPING, and BAISHENG WU. "ANALYTICAL APPROXIMATE SOLUTIONS TO LARGE-AMPLITUDE FREE VIBRATIONS OF UNIFORM BEAMS ON PASTERNAK FOUNDATION." International Journal of Applied Mechanics 06, no. 06 (December 2014): 1450075. http://dx.doi.org/10.1142/s1758825114500756.

Full text

Abstract:

This paper is concerned with the large-amplitude vibration behavior of simply supported and clamped uniform beams, with axially immovable ends, on Pasternak foundation. The combination of Newton's method and harmonic balance one is used to deal with these vibrations. Explicit and brief analytical approximations to nonlinear frequency and periodic solution of the beams for various values of the two stiffness parameters of the Pasternak foundation, small as well as large amplitudes of oscillation are presented. The analytical approximate results show excellent agreement with those from numerical integration scheme. Due to brevity of expressions, the present analytical approximate solutions are convenient to investigate effects of various parameters on the large-amplitude vibration response of the beams.

APA, Harvard, Vancouver, ISO, and other styles

31

Wang, Xiancheng, Wei Li, Jianjun Yao, Zhenshuai Wan, Yu Fu, and Tang Sheng. "Free Vibration of Functionally Graded Sandwich Shallow Shells on Winkler and Pasternak Foundations with General Boundary Restraints." Mathematical Problems in Engineering 2019 (March 13, 2019): 1–19. http://dx.doi.org/10.1155/2019/7527148.

Full text

Abstract:

In this investigation, an exact method based on the first-order shear deformation shallow shell theory (FSDSST) is performed for the free vibration of functionally graded sandwich shallow shells (FGSSS) on Winkler and Pasternak foundations with general boundary restraints. Vibration characteristics of the FGSSS have been obtained by the energy function represented in the orthogonal coordinates, in which the displacement and rotation components consisted of standard double Fourier cosine series and several closed-form supplementary functions are introduced to eliminate the potential jumps and boundary discontinuities. Then, the expansion coefficients are determined by using Rayleigh-Ritz method. The proposed method shows good accuracy and reliability by comprehensive investigation concerning free vibration of the FGSSS. Numerous new vibration results for FGSSS on Winkler and Pasternak foundations with various curvature types, geometrical parameters, and boundary restraints are provided, which may serve as benchmark solutions for future research. In addition, the effects of the inertia, shear deformation, and foundation coefficients on free vibration characteristic of FGSSS are illustrated.

APA, Harvard, Vancouver, ISO, and other styles

32

Luo, Weili, and Yong Xia. "Vibration of infinite Timoshenko beam on Pasternak foundation under vehicular load." Advances in Structural Engineering 20, no. 5 (March 28, 2017): 694–703. http://dx.doi.org/10.1177/1369433217698344.

Full text

Abstract:

The vibration of beams on foundations under a vehicular load has attracted wide attention for decades. The problem has numerous applications in several fields such as highway structures. However, most of analytical or semi-analytical studies simplify the vehicular load as a concentrated point or distributed line load with the constant or harmonically varying amplitude, and neglect the presence of the vehicle and the road irregularity. This article carries out an analytical study of vibration on an infinite Pasternak-supported Timoshenko beam under vehicular load which is generated by the passage of a quarter car on a road with harmonic surface irregularity. The governing equations of motion are derived based on Hamilton’s principle and Timoshenko beam theory and then are solved in the frequency–wavenumber domain with a moving coordinate system. The analytical solutions are expressed in a general form of Cauchy’s residue theorem. The results are validated by the case of an Euler–Bernoulli beam on a Winkler foundation, which is a special case of the current system and has an explicit form of solution. Finally, a numerical example is employed to investigate the influence of properties of the beam (the radius of gyration and the shear rigidity) and the foundation (the shear viscosity, rocking, and normal stiffness) on the deflected shape, maximum displacement, critical frequency, and critical velocity of the system.

APA, Harvard, Vancouver, ISO, and other styles

33

Köpke, U. G. "Transverse Vibration of Buried Pipelines Due to Internal Excitation at a Point." Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering 207, no. 1 (February 1993): 41–59. http://dx.doi.org/10.1243/pime_proc_1993_207_206_02.

Full text

Abstract:

This paper is concerned with the dynamic response of buried pipelines due to excitation located inside the pipe. This work is important for application to techniques that employ vibration to investigate pipeline support conditions using a vibrating pipe inspection device. It also has application to the detection of spanning in off-shore pipelines. Three different theoretical models are developed and investigated. The first model employs the theory of elasticity, the second is a finite element model and the third is a beam-on-elastic Pasternak foundation. Good agreement between these models is demonstrated. The beam-on-elastic Pasternak foundation model is successfully used to predict ‘signatures’ of the pipe-soil response that characterize soil support features, such as hard and soft supports.

APA, Harvard, Vancouver, ISO, and other styles

34

Shen, Hui-Shen. "Post-buckling of internal-pressure-loaded laminated cylindrical shells surrounded by an elastic medium." Journal of Strain Analysis for Engineering Design 44, no. 6 (August 1, 2009): 439–58. http://dx.doi.org/10.1243/03093247jsa505.

Full text

Abstract:

This paper presents a study on the post-buckling response of an anisotropic laminated cylindrical shell of finite length embedded in a large outer elastic medium and subjected to internal pressure in thermal environments. The surrounding elastic medium is modelled as a tensionless Pasternak foundation reacting in compression only. The governing equations are based on higher-order shear deformation shell theory with von Kármán–Donnell kinematic non-linearity and including extension–twist, extension–flexural, and flexural–twist couplings. The thermal effects are also included, and the material properties are assumed to be temperature dependent. Non-linear prebuckling deformations and the initial geometric imperfections of the shell are both taken into account. A singular perturbation technique is employed to determine the post-buckling response of the shells, and an iterative scheme is developed to obtain numerical results without using any assumption concerning the shape of the contact region between the shell and the elastic medium. Numerical illustrations concern the buckling and post-buckling response of cross-ply and symmetric angle-ply laminated shells surrounded by an elastic medium of tensionless foundation of the Pasternak type, from which results for conventional elastic foundations are obtained as comparators. The results reveal that unilateral constraints have a significant effect on the post-buckling response of shells subjected to internal pressure in thermal environments when the foundation stiffness is sufficiently large.

APA, Harvard, Vancouver, ISO, and other styles

35

Zenkour, Ashraf M. "Free vibration of a microbeam resting on Pasternak’s foundation via the Green–Naghdi thermoelasticity theory without energy dissipation." Journal of Low Frequency Noise, Vibration and Active Control 35, no. 4 (October 22, 2016): 303–11. http://dx.doi.org/10.1177/0263092316676405.

Full text

Abstract:

This article investigates the effect of length-to-thickness ratio and elastic foundation parameters on the natural frequencies of a thermoelastic microbeam resonator. The generalized thermoelasticity theory of Green and Naghdi without energy dissipation is used. The governing frequency equation is given for a simply supported microbeam resting on Winkler–Pasternak elastic foundations. The influences of different parameters are all demonstrated. Natural vibration frequencies are graphically illustrated and some tabulated results are presented for future comparisons.

APA, Harvard, Vancouver, ISO, and other styles

36

Nazarimofrad, Ebrahim, and Mehdi Barang. "Shear buckling of steel foam sandwich panel resting on Pasternak foundation." Mechanics and Mechanical Engineering 23, no. 1 (July 10, 2019): 192–97. http://dx.doi.org/10.2478/mme-2019-0025.

Full text

Abstract:

Abstract The objective of this paper is to assess the inplane shear buckling of a steel foam sandwich panel that relies on elastic Pasternak foundation. The panel is a combination of solid steel face sheets and foamed steel cores. Foamed steel, that is steel with internal voids, provides enhanced bending rigidity and energy dissipation, and also, the potential to reduce local buckling. The Classic plate theory is employed where their governing equations are solved by the Rayleigh–Ritz method. Uniformly distributed in-plane shear loads are applied to the two opposite edges of the panel and all the four edges of the panel are simply supported. Finally, the effects of the panel parameters, such as the existence of a Pasternak foundation, aspect ratios, and central fraction of the steel foam core, are presented. The results showed that the optimum central fraction of the steel foam core would be 65%, so that the maximum critical shear buckling load has taken place.

APA, Harvard, Vancouver, ISO, and other styles

37

Asanjarani, A., S. Satouri, A. Alizadeh, and MH Kargarnovin. "Free vibration analysis of 2D-FGM truncated conical shell resting on Winkler–Pasternak foundations based on FSDT." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 229, no. 5 (June 18, 2014): 818–39. http://dx.doi.org/10.1177/0954406214539472.

Full text

Abstract:

Based on the first-order shear deformation theory, this paper focuses on the free vibration behavior of two-dimensional functionally graded material truncated conical shells resting on Winkler–Pasternak foundations. The materials are assumed to be isotropic and inhomogeneous in the length and thickness directions of truncated conical shell. The material properties of the truncated conical shell are varied in these directions according to power law functions. The derived governing equations are solved using differential quadrature method. Convergence of this method is checked and the fast rate of convergence is observed. The primary results of this study are obtained for ( SS− SL), ( CS− CL), and ( CS− SL) boundary conditions and compared with those available in the literatures. Furthermore, effects of geometrical parameters, material power indexes, mechanical boundary conditions, Winkler and Pasternak foundation moduli on the nondimensional frequency parameters of the two-dimensional functionally graded material truncated conical shell are studied.

APA, Harvard, Vancouver, ISO, and other styles

38

Paliwal, D. N., and V. Bhalla. "Large Amplitude Free Vibration of Shallow Spherical Shell on a Pasternak Foundation." Journal of Vibration and Acoustics 115, no. 1 (January 1, 1993): 70–74. http://dx.doi.org/10.1115/1.2930317.

Full text

Abstract:

Large amplitude free vibrations of a clamped shallow spherical shell on a Pasternak foundation are studied using a new approach by Banerjee, Datta, and Sinharay. Numerical results are obtained for movable as well as immovable clamped edges. The effects of geometric, material, and foundation parameters on relation between nondimensional frequency and amplitude have been investigated and plotted.

APA, Harvard, Vancouver, ISO, and other styles

39

Saadatnia, Zia, Hassan Askari, and Ebrahim Esmailzadeh. "Multi-frequency excitation of microbeams supported by Winkler and Pasternak foundations." Journal of Vibration and Control 24, no. 13 (March 1, 2017): 2894–911. http://dx.doi.org/10.1177/1077546317695463.

Full text

Abstract:

The multi-frequency excitation of a microbeam, resting on a nonlinear foundation, is investigated and the governing equation of motion of the microbeam system is developed. The viscoelastic-type foundation is considered by assuming nonlinear parameters for both Pasternak and Winkler coefficients. The well-known Galerkin approach is utilized to discretize the governing equation of motion and to obtain its nonlinear ordinary differential equations. The multiple time-scales method is employed to study the multi-frequency excitation of the microbeam. Furthermore, the resonant conditions due to the external excitation as well as the combination resonances for the first two modes are investigated. The influences of different parameters, namely the Pasternak and Winkler coefficients, the position of the applied force and the geometrical factors on the frequency response of the system are examined.

APA, Harvard, Vancouver, ISO, and other styles

40

Li, Zhiyuan, Yepeng Xu, and Dan Huang. "Accurate solution for functionally graded beams with arbitrarily varying thicknesses resting on a two-parameter elastic foundation." Journal of Strain Analysis for Engineering Design 55, no. 7-8 (June 3, 2020): 222–36. http://dx.doi.org/10.1177/0309324720922739.

Full text

Abstract:

This work presents analytical solutions for bending deformation and stress distributions in functionally graded beams with arbitrarily and continuously variable thicknesses and resting on a two-parameter Pasternak elastic foundation. Based on two-dimensional elasticity theory directly, the general solutions of displacements and stresses which completely satisfy the differential equations governing the equilibrium for arbitrarily varying thickness functionally graded beams are derived for the first time. The undetermined coefficients in the general solution are obtained using Fourier series expansion along the upper and lower surfaces. The accuracy and efficiency of the proposed method are verified through several typical examples. The effects of mechanical and geometry parameters on the stress and displacement distributions of varying thickness functionally graded beams resting on a two-parameter Pasternak elastic foundation are discussed further.

APA, Harvard, Vancouver, ISO, and other styles

41

Kargarnovin, M. H., and D. Younesian. "Dynamics of Timoshenko beams on Pasternak foundation under moving load." Mechanics Research Communications 31, no. 6 (November 2004): 713–23. http://dx.doi.org/10.1016/j.mechrescom.2004.05.002.

Full text

APA, Harvard, Vancouver, ISO, and other styles

42

Li, Y. S. "Buckling analysis of magnetoelectroelastic plate resting on Pasternak elastic foundation." Mechanics Research Communications 56 (March 2014): 104–14. http://dx.doi.org/10.1016/j.mechrescom.2013.12.007.

Full text

APA, Harvard, Vancouver, ISO, and other styles

43

Khazanovich, Lev, and Eyal Levenberg. "Analytical solution for a viscoelastic plate on a Pasternak foundation." Road Materials and Pavement Design 21, no. 3 (October 12, 2018): 800–820. http://dx.doi.org/10.1080/14680629.2018.1530693.

Full text

APA, Harvard, Vancouver, ISO, and other styles

44

Worku, Asrat. "Development of a calibrated Pasternak foundation model for practical use." International Journal of Geotechnical Engineering 8, no. 1 (December 6, 2013): 26–33. http://dx.doi.org/10.1179/1938636213z.00000000055.

Full text

APA, Harvard, Vancouver, ISO, and other styles

45

El-Mously, M. "A Timoshenko-beam-on-Pasternak-foundation analogy for cylindrical shells." Journal of Sound and Vibration 261, no. 4 (April 2003): 635–52. http://dx.doi.org/10.1016/s0022-460x(02)00995-1.

Full text

APA, Harvard, Vancouver, ISO, and other styles

46

Rao, G. Venkateswara. "Large-amplitude free vibrations of uniform beams on Pasternak foundation." Journal of Sound and Vibration 263, no. 4 (June 2003): 954–60. http://dx.doi.org/10.1016/s0022-460x(02)01486-4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

47

Ying, J., and W. Q. Chen. "Free Vibrations of Transversely Isotropic Cylindrical Panels on Pasternak Foundation." Journal of Engineering Mechanics 125, no. 10 (October 1999): 1222–25. http://dx.doi.org/10.1061/(asce)0733-9399(1999)125:10(1222).

Full text

APA, Harvard, Vancouver, ISO, and other styles

48

Panahandeh-Shahraki, Danial, and Ahmad Amiri Rad. "Buckling of cracked functionally graded plates supported by Pasternak foundation." International Journal of Mechanical Sciences 88 (November 2014): 221–31. http://dx.doi.org/10.1016/j.ijmecsci.2014.08.012.

Full text

APA, Harvard, Vancouver, ISO, and other styles

49

Xiang, Hong-Jun, and Zhi-Fei Shi. "Vibration attenuation in periodic composite Timoshenko beams on Pasternak foundation." Structural Engineering and Mechanics 40, no. 3 (November 10, 2011): 373–92. http://dx.doi.org/10.12989/sem.2011.40.3.373.

Full text

APA, Harvard, Vancouver, ISO, and other styles

50

Paliwal, D. N., and V. Bhalla. "Large deflection analysis of cylindrical shells on a pasternak foundation." International Journal of Pressure Vessels and Piping 53, no. 2 (January 1993): 261–71. http://dx.doi.org/10.1016/0308-0161(93)90082-5.

Full text

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!