Structural Engineering and Mechanics

  • 제16권6호
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  • Pages.731-748
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  • 2003
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Closed form solution for displacements of thick cylinders with varying thickness subjected to non-uniform internal pressure

  • Eipakchi, H.R. (Department of Mechanical Engineering, Tarbiat Modarres University) ;
  • Rahimi, G.H. (Department of Mechanical Engineering, Tarbiat Modarres University) ;
  • Esmaeilzadeh Khadem, S. (Department of Mechanical Engineering, Tarbiat Modarres University)
  • 투고 : 2003.04.29
  • 심사 : 2003.08.06
  • 발행 : 2003.12.25
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper a thick cylindrical shell with varying thickness which is subjected to static non-uniform internal pressure is analyzed. At first, equilibrium equations of the shell have been derived by the energy principle and by considering the first order theory of Mirsky-Herrmann which includes transverse shear deformation. Then the governing equations which are, a system of differential equations with varying coefficients have been solved analytically with the boundary layer technique of the perturbation theory. In spite of complexity of modeling the conditions near the boundaries, the method of this paper is very capable of providing a closed form solution even near the boundaries. Displacement predictions are in a good agreement with the calculated finite elements and other analytical results. The convergence of solution is very fast and the amount of calculations is less than the Frobenius method.

키워드

참고문헌

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피인용 문헌

  1. A Semi-Analytical Solution for Elastic Analysis of Rotating Thick Cylindrical Shells with Variable Thickness Using Disk Form Multilayers vol.2014, 2014, https://doi.org/10.1155/2014/932743
  2. Nonlinear Analysis of Cylindrical Shells with Varying Thickness and Moderately Large Deformation under Nonuniform Compressive Pressure Using the First-Order Shear Deformation Theory vol.141, pp.5, 2015, https://doi.org/10.1061/(ASCE)EM.1943-7889.0000875
  3. Time-Dependent Thermomechanical Creep Behavior of FGM Thick Hollow Cylindrical Shells Under Non-Uniform Internal Pressure vol.09, pp.06, 2017, https://doi.org/10.1142/S1758825117500867
  4. Displacements and stresses in pressurized thick FGM cylinders with exponentially varying properties based on FSDT vol.51, pp.6, 2014, https://doi.org/10.12989/sem.2014.51.6.939
  5. Thermo-Elastic Analysis of Clamped-Clamped Thick FGM Cylinders by Using Third-Order Shear Deformation Theory vol.13, pp.4, 2016, https://doi.org/10.1590/1679-78252254
  6. 2D thermo elastic behavior of a FG cylinder under thermomechanical loads using a first order temperature theory vol.149, 2017, https://doi.org/10.1016/j.ijpvp.2016.12.002
  7. Elastic analysis of pressurized thick cylindrical shells with variable thickness made of functionally graded materials vol.45, pp.1, 2013, https://doi.org/10.1016/j.compositesb.2012.09.043
  8. Elastic analysis of pressurized thick FGM cylinders with exponential variation of material properties using TSDT vol.12, pp.6, 2015, https://doi.org/10.1590/1679-78251491
  9. Axisymmetric Stress Analysis of a Thick Conical Shell with Varying Thickness under Nonuniform Internal Pressure vol.134, pp.8, 2008, https://doi.org/10.1061/(ASCE)0733-9399(2008)134:8(601)
  10. Elastic analysis of axially functionally graded rotating thick cylinder with variable thickness under non-uniform arbitrarily pressure loading vol.89, 2015, https://doi.org/10.1016/j.ijengsci.2014.12.004
  11. Elastic analysis of pressurized thick truncated conical shells made of functionally graded materials vol.43, pp.1, 2012, https://doi.org/10.12989/sem.2012.43.1.105
  12. Time-dependent creep analysis and life assessment of 304 L austenitic stainless steel thick pressurized truncated conical shells vol.28, pp.3, 2003, https://doi.org/10.12989/scs.2018.28.3.349
  13. New nonlinear solution of nearly incompressible hyperelastic FGM cylindrical shells with arbitrary variable thickness and non-uniform pressure based on perturbation theory vol.16, pp.8, 2019, https://doi.org/10.1590/1679-78255622
  14. Thermoelastic behaviour of FGM rotating cylinder resting on friction bed subjected to a thermal gradient and an external torque vol.19, pp.1, 2003, https://doi.org/10.1080/14484846.2018.1552736