Relevant bibliographies by topics / Pasternak Foundation

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature 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 lists of relevant articles, books, theses, conference reports, and other scholarly sources 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.

Journal articles on the topic "Pasternak Foundation"

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
More sources

Dissertations / Theses on the topic "Pasternak Foundation"

1

Tonzani, Giulio Maria. "Free Vibrations Analysis of Timoshenko Beams on Different Elastic Foundations via Three Alternative Models." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2017.

Find full text
Abstract:
The scope of the research is to provide a simpler and more consistent equation for the analysis of the natural frequencies of a beam with respect to the widely used one introduced by Timoshenko in 1916. To this purpose, the free vibrations of a beam resting on Winkler or/and Pasternak elastic foundations are analyzed via original Timoshenko theory as well as two of its truncated versions, which have been proposed by Elishakoff in recent years to overcome the mathematical difficulties associated with the fourth-order time derivative of the deflection. Former equation takes into account for both shear deformability and rotary inertia, while latter one is based upon incorporation of the slope inertia effect. Detailed comparisons and derivations of the three models are given for six different sets of boundary conditions stemming by the various possible combinations of three of the most typical end constraints for a beam: simply supported end, clamped end and free end. It appears that the two new theories are able to overcome the disadvantage of the original Timoshenko equation without predicting the unphysical second spectrum and to produce very good approximations for the most relevant values of natural frequencies. As a consequence, the inclusion of these simpler approaches is suggested in future works. An intriguing intermingling phenomenon is also presented for the simply supported case together with a detailed discussion about the possible existence of zero frequencies for the free–free beam and the simply supported–free beam in the context of different types of foundations.
APA, Harvard, Vancouver, ISO, and other styles
2

Batihan, Ali Cagri. "Vibration Analysis Of Cracked Beams On Elastic Foundation Using Timoshenko Beam Theory." Master's thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12613602/index.pdf.

Full text
Abstract:
In this thesis, transverse vibration of a cracked beam on an elastic foundation and the effect of crack and foundation parameters on transverse vibration natural frequencies are studied. Analytical formulations are derived for a beam with rectangular cross section. The crack is an open type edge crack placed in the medium of the beam and it is uniform along the width of the beam. The cracked beam rests on an elastic foundation. The beam is modeled by two different beam theories, which are Euler-Bernoulli beam theory and Timoshenko beam theory. The effect of the crack is considered by representing the crack by rotational springs. The compliance of the spring that represents the crack is obtained by using fracture mechanics theories. Different foundation models are discussed
these models are Winkler Foundation, Pasternak Foundation, and generalized foundation. The equations of motion are derived by applying Newton'
s 2nd law on an infinitesimal beam element. Non-dimensional parameters are introduced into equations of motion. The beam is separated into pieces at the crack location. By applying the compatibility conditions at the crack location and boundary conditions, characteristic equation whose roots give the non-dimensional natural frequencies is obtained. Numerical solutions are done for a beam with square cross sectional area. The effects of crack ratio, crack location and foundation parameters on transverse vibration natural frequencies are presented. It is observed that existence of crack reduces the natural frequencies. Also the elastic foundation increases the stiffness of the system thus the natural frequencies. The natural frequencies are also affected by the location of the crack.
APA, Harvard, Vancouver, ISO, and other styles
3

Lin, Kuan-Hung, and 林冠宏. "Solution of Timoshenko Beam on Pasternak foundation by DQEM." Thesis, 2004. http://ndltd.ncl.edu.tw/handle/09796940458505764501.

Full text
Abstract:
碩士
國立成功大學
系統及船舶機電工程學系碩博士班
92
The differential quadrature element method (DQEM) proposed by Dr. C.N. Chen is a numerical analysis method for analyzing continuum mechanics problems. Like FEM, in using DQEM to solve a problem the domain is separated into many elements. The DQ discretization is carried out on an element-basis. The discretized governing differential or partial differential equations defined on the elements, transition conditions on inter-element boundaries and boundary conditions are assembled to obtain an overall algebraic system. The numerical procedure of this method can systematically implemented into a computer program. The coupling of solutions at discrete points is strong. In addition, all fundamental relations are considered in constructing the overall discrete algebraic system. Consequently, convergence can be assured by using less discrete points, and accurate results can be obtained by using less arithmetic operations which can reduce the computer CPU time required. This thesis involves the application of DQEM to the deflection and vibration analyses of non-uniform Timoshenko beams on Pasternak foundation, and the related computer problem is implemented. Sample problems of static deformation and free vibration are analyzed. They prove that the developed DQEM analysis model is excellent.
APA, Harvard, Vancouver, ISO, and other styles
4

Tseng, Shao-Yu, and 曾劭瑜. "Solution of beam on Pasternak elastic foundation by DQEM." Thesis, 2004. http://ndltd.ncl.edu.tw/handle/87793669762574324703.

Full text
Abstract:
碩士
國立成功大學
系統及船舶機電工程學系碩博士班
92
A new numerical approach for solving the problem of a beam resting on a Pasternak-type foundation is proposed. The approach uses the differential quadrature (DQ) to discretize the governing differential equations defined on all elements, the transition conditions defined on the interelement boundaries of two adjacent elements, and the boundary conditions of the beam. By assembling all the discrete relation equations, a global linear algebraic system can be obtained. Numerical results of the solutions of beams resting on a Pasternak-type foundations obtained by the DQEM are presented. The differential quadrature element method (DQEM) proposed by Dr.C.N. Chen is a numerical analysis method for analyzing continuum mechanics problems. The numerical procedure of this method can systematically implemented into a computer program. The coupling of solutions at discrete points is strong. In addition, all fundamental relations are considered in constructing the overall discrete algebraic system. Consequently, convergence can be assured by using less discrete points, and accurate results can be obtained by using less arithmetic operations which can reduce the computer CPU time required.
APA, Harvard, Vancouver, ISO, and other styles
5

Huang, Jian-Wei, and 黃建瑋. "Solution of axial symmetry circular plate on Pasternak foundation by DQEM." Thesis, 2004. http://ndltd.ncl.edu.tw/handle/88350329502035992398.

Full text
Abstract:
碩士
國立成功大學
系統及船舶機電工程學系碩博士班
92
The coupling of solutions at discrete points is strong by using the differential quadrature element method (DQEM). Thus, convergence and accurate can be assured by using less discrete points and less arithmetic operations which can reduce the computer CPU time required. 　　Like FEM, in using DQEM to solve a problem the domain is separated into many elements. The DQ discretization is carried out on an element-basis. The discretized governing differential or partial differential equations defined on the elements, transition conditions on inter-element boundaries and boundary conditions are assembled to obtain an overall algebraic system. 　　In this work, the DQEM analysis model of shear-deformable axisymmetric circular plates on Pasternak elastic foundation is developed, and the related computer problems is implemented. Problems of static deformation are analyzed. They prove that the developed DQEM analysis model is excellent。
APA, Harvard, Vancouver, ISO, and other styles
6

Chen, Cheng-wen, and 陳文政. "Vibration analysis of a timoshenko beam with attached rigid bodies on pasternak foundation." Thesis, 2000. http://ndltd.ncl.edu.tw/handle/65430920761407081603.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Pasternak Foundation"

1

Dutta, Ashis Kumar, Debasish Bandyopadhyay, and Jagat Jyoti Mandal. "Static Analysis of Thin Rectangular Plate Resting on Pasternak Foundation." In Lecture Notes in Civil Engineering, 223–33. Singapore: Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-2260-1_21.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Herisanu, Nicolae, and Vasile Marinca. "Free Oscillations of Euler-Bernoulli Beams on Nonlinear Winkler-Pasternak Foundation." In Springer Proceedings in Physics, 41–48. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-69823-6_5.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Marinca, Vasile, Nicolae Herisanu, and Bogdan Marinca. "Free Oscillations of Euler–Bernoulli Beams on Nonlinear Winkler-Pasternak Foundation." In Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems, 63–69. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-75653-6_5.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Nayak, Dipesh Kumar, Madhusmita Pradhan, Prabir Kumar Jena, and Pusparaj Dash. "Dynamic Stability Analysis of an Asymmetric Sandwich Beam on a Sinusoidal Pasternak Foundation." In Lecture Notes in Mechanical Engineering, 101–11. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-2696-1_10.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Marinca, Vasile, Nicolae Herisanu, and Bogdan Marinca. "The Nonlinear Thermomechanical Vibration of a Functionally Graded Beam (FGB) on Winkler-Pasternak Foundation." In Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems, 109–22. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-75653-6_11.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Nayak, D. K., P. K. Jena, M. Pradhan, and P. R. Dash. "Theoretical Analysis of Free Vibration of a Sandwich Beam on Pasternak Foundation with Temperature Gradient." In Lecture Notes in Mechanical Engineering, 125–35. Singapore: Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-33-4795-3_13.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Cao, Tan Ngoc Than, Van Hai Luong, Xuan Vu Nguyen, and Minh Thi Tran. "Dynamic Analysis of Multi-layer Connected Plate Resting on a Pasternak Foundation Subjected to Moving Load." In Lecture Notes in Civil Engineering, 1017–26. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-5144-4_98.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Tran-Quoc, T., H. Nguyen-Trong, and T. Khong-Trong. "Dynamic Analysis of Beams on Two-Parameter Viscoelastic Pasternak Foundation Subjected to the Moving Load and Considering Effects of Beam Roughness." In Proceedings of the International Conference on Advances in Computational Mechanics 2017, 1139–53. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-10-7149-2_79.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Meriem, Seguini, and Nedjar Djamel. "Stochastic Finite Element Analysis of Nonlinear Beam on Winkler-Pasternack Foundation." In Proceedings of the 1st International Conference on Numerical Modelling in Engineering, 14–29. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-2405-5_2.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Taczała, M., and R. Buczkowski. "Eigenvalue analysis of graphene plates embedded into the elastic Pasternak foundation." In Shell Structures: Theory and Application, 329–32. CRC Press, 2013. http://dx.doi.org/10.1201/b15684-81.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Pasternak Foundation"

1

Bezerra, Wallison Kennedy da Silva, simone dos santos hoefel, and Lucas Soares. "DYNAMIC RESPONSE OF TIMOSHENKO BEAMS ON PASTERNAK FOUNDATION." In 24th ABCM International Congress of Mechanical Engineering. ABCM, 2017. http://dx.doi.org/10.26678/abcm.cobem2017.cob17-1571.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Bezerra, Wallison Kennedy da Silva, Lucas Silva Soares, and Simone dos Santos Hoefel. "SECOND SPECTRUM OF TIMOSHENKO BEAM ON PASTERNAK FOUNDATION." In XXXVIII Iberian-Latin American Congress on Computational Methods in Engineering. Florianopolis, Brazil: ABMEC Brazilian Association of Computational Methods in Engineering, 2017. http://dx.doi.org/10.20906/cps/cilamce2017-0215.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Soares, Lucas Silva, Wallison Kennedy da Silva Bezerra, and Simone dos Santos Hoefel. "DYNAMIC ANALYSIS OF TIMOSHENKO BEAM ON PASTERNAK FOUNDATION." In XXXVIII Iberian-Latin American Congress on Computational Methods in Engineering. Florianopolis, Brazil: ABMEC Brazilian Association of Computational Methods in Engineering, 2017. http://dx.doi.org/10.20906/cps/cilamce2017-1336.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Soares, Lucas, simone dos santos hoefel, and Wallison Bezerra. "FREE VIBRATION ANALYSIS FOR EULER-BERNOULLI BEAM ON PASTERNAK FOUNDATION." In 24th ABCM International Congress of Mechanical Engineering. ABCM, 2017. http://dx.doi.org/10.26678/abcm.cobem2017.cob17-1084.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Takahashi, Kazuo, and Hisaaki Furutani. "Vibration, Buckling and Dynamic Stability of a Non-Uniform Cantilever Plate With Thermal Gradient Resting on a Pasternak Foundation." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0282.

Full text
Abstract:
Abstract The dynamic stability of a non-uniform rectangular cantilever plate on a Pasternak foundation under the action of a pulsating inplane load is reported in this paper. The small deflection theory of the thin plate is used Hamilton’s principle is used to derive the time variables while the dynamic stability is solved by the harmonic balance method. Natural frequencies and buckling properties are presented at first. Then, regions of instability which contain simple parametric resonances and combination resonances are discussed for various parameters of a Pasternak foundation, non-uniform cross section and thermal gradient.
APA, Harvard, Vancouver, ISO, and other styles
6

Mohammadi, Meisam, A. R. Saidi, and Mehdi Mohammadi. "Buckling Analysis of Thin Functionally Graded Rectangular Plates Resting on Elastic Foundation." In ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2010. http://dx.doi.org/10.1115/esda2010-24594.

Full text
Abstract:
In the present article, the buckling analysis of thin functionally graded rectangular plates resting on elastic foundation is presented. According to the classical plate theory, (Kirchhoff plate theory) and using the principle of minimum total potential energy, the equilibrium equations are obtained for a functionally graded rectangular plate. It is assumed that the plate is rested on elastic foundation, Winkler and Pasternak elastic foundations, and is subjected to in-plane loads. Since the plate is made of functionally graded materials (FGMs), there is a coupling between the equations. In order to remove the existing coupling, a new analytical method is introduced where the coupled equations are converted to decoupled equations. Therefore, it is possible to solve the stability equations analytically for special cases of boundary conditions. It is assumed that the plate is simply supported along two opposite edges in x direction and has arbitrary boundary conditions along the other edges (Levy boundary conditions). Finally, the critical buckling loads for a functionally graded plate with different boundary conditions, some aspect ratios and thickness to side ratios, various power of FGM and foundation parameter are presented in tables and figures. It is concluded that increasing the power of FGM decreases the critical buckling load and the load carrying capacity of plate increases where the plate is rested on Pasternak in comparison with the Winkler type.
APA, Harvard, Vancouver, ISO, and other styles
7

Karam, V. J., M. Altoé, and N. S. Ribeiro. "ANALYSIS OF PLATE BENDING BY THE BOUNDARY ELEMENT METHOD CONSIDERING PASTERNAK-TYPE FOUNDATION." In 10th World Congress on Computational Mechanics. São Paulo: Editora Edgard Blücher, 2014. http://dx.doi.org/10.5151/meceng-wccm2012-19878.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Adair, Desmond, Zhantileu Segizbayev, Xueyu Geng, and Martin Jaeger. "Vibrations of an Euler-Bernoulli Nanobeam on a Winkler/Pasternak-Type Elastic Foundation." In 2018 IEEE 13th Annual International Conference on Nano/Micro Engineered and Molecular Systems (NEMS). IEEE, 2018. http://dx.doi.org/10.1109/nems.2018.8556885.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Askari, Hassan, and Ebrahim Esmailzadeh. "Nonlinear Vibration of Carbon Nanotube Resonators Considering Higher Modes." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-46860.

Full text
Abstract:
Nonlinear forced vibration of the carbon nanotubes based on the Euler-Bernoulli beam theory is studied. The Euler-Bernoulli beam theory is implemented to find the governing equation of the vibrations of the carbon nanotube. The Pasternak and Nonlinear Winkler foundation is assumed for the objective system. It is supposed that the system is supported by hinged-hinged boundary conditions. The Galerkin procedure is employed in order to find the nonlinear ordinary differential equation of the vibration of the objective system considering two modes of vibrations. The primary and secondary resonant cases are developed for the objective system employing the multiple scales method. Influence of different factors such as length, thickness, position of applied force, Pasternak and Winkler foundation are fully shown on the primary and secondary resonance of the system.
APA, Harvard, Vancouver, ISO, and other styles
10

Askari, Hassan, and Ebrahim Esmailzadeh. "Nonlinear Forced Vibration of Curved Carbon Nanotube Resonators." In ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/detc2016-59781.

Full text
Abstract:
Nonlinear forced vibration of the nonlocal curved carbon nanotubes is investigated. The governing equation of vibration of a nonlocal curved carbon nanotube is developed. The nonlinear Winkler and Pasternak type foundations are chosen for the nanotube resonator system. Furthermore, the shape of the carbon nanotube system is assumed to be of a sinusoidal curvature form and different types of the boundary conditions are postulated for the targeted system. The Euler-Bernoulli beam theory in conjunction with the Eringen theory are implemented to obtain the partial differential equation of the system. The Galerkin method is applied to obtain the nonlinear ordinary differential equations of the system. For the sake of obtaining the primary resonance of the considered system the multiple time scales method is utilized. The influences of different parameters, namely, the position of the applied force, different forms of boundary condition, amplitude of curvature, and the coefficient of the Pasternak foundation, on the frequency response of the system were fully investigated.
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the extended bibliographies on the topic 'Pasternak Foundation' for particular source types:
Journal articles
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!

To the bibliography