Academic literature on the topic 'Pasternak Foundation'

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Journal articles on the topic "Pasternak Foundation"

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

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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 (2020): 168781402097453. http://dx.doi.org/10.1177/1687814020974530.

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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.
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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.

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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 red
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Hu, Haibo, Lina Luo, Gang Lei, et al. "The Transverse Bearing Characteristics of the Pile Foundation in a Calcareous Sand Area." Materials 15, no. 17 (2022): 6176. http://dx.doi.org/10.3390/ma15176176.

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Reviewing literature revealed that the studies on the bearing characteristics of pile foundations mainly focuses on clay, ordinary sand, loess, saline soil, and other areas. However, few studies on the bearing characteristics of the pile foundation in calcareous sand were conducted. Besides, existing traditional studies ignored the variation of soil compression modulus with depth, and the effect of void ratio on the transverse bearing characteristics of the pile foundation in a calcareous sand area were not well understood. In response of these problems, this study conducted a theoretical inve
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Kafkas, Uğur. "A COUPLED MCST-FEM INVESTIGATION OF SIZE-DEPENDENT BUCKLING OF PERFORATED NANOBEAMS ON WINKLER-PASTERNAK FOUNDATION." Konya Journal of Engineering Sciences 13, no. 2 (2025): 368–83. https://doi.org/10.36306/konjes.1587217.

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The buckling behavior of perforated nanobeams on elastic foundations has become increasingly important, mainly due to their widespread use in nanostructures and nanotechnology systems. This study investigates the buckling behavior of perforated nanobeams resting on Winkler-Pasternak elastic foundations using Modified Couple Stress Theory (MCST) and the Finite Element Method (FEM). The analysis examines the effects of various parameters, including foundation elasticity, MCST internal length scale, perforation properties, and beam length, on critical buckling loads. Results indicate that increas
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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 (1998): 253–61. http://dx.doi.org/10.1243/0309324981512977.

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

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Salhi, Mohamed, Omar Safer, Mouloud Dahmane, et al. "Finite element method numerical modeling of the crack's impact on the free vibration of 2D functionally graded beams on the Pasternak-Winkler elastic foundation." STUDIES IN ENGINEERING AND EXACT SCIENCES 5, no. 2 (2024): e6562. http://dx.doi.org/10.54021/seesv5n2-087.

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The study's contribution is to examine, while taking into account pinned-pinned boundary conditions, the free vibration response of multi-cracks Euler-Bernoulli perfect FG beams structure on Pasternak-Winkler elastic foundations. The finite element approach is used to discretize the equations. The material properties are taken into account using a power-law form, and they differ in the thickness and width directions of the beam structure. The 2D FG beam's reduced cross section is used to calculate the stiffness of the cracked structure. On the other hand, the Pasternak-Winkler type foundation
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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.

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

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Dissertations / Theses on the topic "Pasternak Foundation"

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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.

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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
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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.

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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 represent
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Froio, Diego (ORCID:0000-0003-1824-5682). "Structural Dynamics Modelization of One-Dimensional Elements on Elastic Foundations under Fast Moving Load." Doctoral thesis, Università degli studi di Bergamo, 2018. http://hdl.handle.net/10446/105179.

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The structural dynamics analysis of one-dimensional elements (strings, beams) on continuous elastic support under high-velocity moving load is the main subject of the present doctoral dissertation. Two main types of mechanical systems have been considered, of a finite and of an infinite extension. Through ad hoc formulations and autonomous implementations, physical dynamic response characteristics of taut string/beam-foundation systems are revealed by virtue of analytical and numerical approaches, both in the linear and in the nonlinear regimes. First, two explicit closed-form analytical sol
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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.

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碩士<br>國立成功大學<br>系統及船舶機電工程學系碩博士班<br>92<br>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
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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.

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碩士<br>國立成功大學<br>系統及船舶機電工程學系碩博士班<br>92<br>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 obta
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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.

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碩士<br>國立成功大學<br>系統及船舶機電工程學系碩博士班<br>92<br>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 boun
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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.

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Book chapters on the topic "Pasternak Foundation"

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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. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-2260-1_21.

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

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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. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-75653-6_5.

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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. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-2696-1_10.

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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. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-75653-6_11.

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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. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-33-4795-3_13.

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Tao, Lianjin, Zhigang Wang, and Zhibo Jia. "Analytical Solution for the Longitudinal Response of Pipeline Under Fault Dislocation Based on Pasternak Foundation." In Environmental Science and Engineering. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-99-9069-6_27.

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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. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-5144-4_98.

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Shitikova, M., and A. Krusser. "Dynamic Analysis of an Elastic Plate Resting on a Nonlinear Fractional-Order Viscoelastic Pasternak Foundation and Subjected to Moving Load." In Proceedings of the 5th International Conference on Construction, Architecture and Technosphere Safety. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-91145-4_2.

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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. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-10-7149-2_79.

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Conference papers on the topic "Pasternak Foundation"

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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.

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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. ABMEC Brazilian Association of Computational Methods in Engineering, 2017. http://dx.doi.org/10.20906/cps/cilamce2017-0215.

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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. ABMEC Brazilian Association of Computational Methods in Engineering, 2017. http://dx.doi.org/10.20906/cps/cilamce2017-1336.

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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.

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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.

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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
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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.

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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 or
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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.

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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
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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.

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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 syst
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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.

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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. Editora Edgard Blücher, 2014. http://dx.doi.org/10.5151/meceng-wccm2012-19878.

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