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Bending Deflection Analysis of a Semi-Trailer Chassis by Using Symmetric Smoothed Particle Hydrodynamics

Year 2015, Volume: 1 Issue: 4, 134 - 140, 23.12.2015
https://doi.org/10.19072/ijet.49184

Abstract

In this paper, a simple approach is presented for the calculation of bending deflection of a semi trailer chassis. The 3D model of  the chassis is used to determine the moment of inertia of the cross section function and then the mathematical model of the chassis is presented as a Euler Bernoulli Beam which has the variable cross section. Different loading conditions coming from the semi trailer test procedures are applied. The bending deflections of the semi trailer chassis are numerically calculated by using the Symmetric Smoothed Particle Hydrodynamics (SSPH) method. The first time the performance of the SSPH method for the fourth order non-homogeneous variable coefficents linear boundary value problems is evaluated. For the calculations different number of terms in the TSEs are employed when the number of nodes in the problem domain increases.  The comparisons are made with the results of experiments. It is observed that the SSPH method has the conventional convergence properties yields smaller L2 error. Finally, the approach presented here may be used and found reliable for the calculation of deflection of the semi trailer chassis before the release of detail design.

References

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  • Tsai CL, Guan YL, Batra RC, Ohanehi DC, Dillard JG, Nicoli E, Dillard DA, Comparison of the performance of SSPH and MLS basis functions for two-dimensional linear elastostatics problems including quasistatic crack propagation, Comput Mech 51, 19-34, 2013.
  • Karamanli A, Mugan A, Solutions of two–dimensional heat transfer problems by using symmetric smoothed particle hydrodynamics method, Journal of Applied and Computational Mathematics 1, 1-6, 2012.
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Year 2015, Volume: 1 Issue: 4, 134 - 140, 23.12.2015
https://doi.org/10.19072/ijet.49184

Abstract

References

  • References
  • Lucy LB, A numerical approach to the testing of the fission hypothesis, Astron J 82, 1013–1024, 1977.
  • Chen JK, Beraun JE, Jin CJ, An improvement for tensile instability in smoothed particle hydrodynamics, Comput Mech 23, 279–287, 1999.
  • Chen JK, Beraun JE, Jin CJ, Completeness of corrective smoothed particlemethod for linear elastodynamics, Comput Mech 24, 273–285, 1999.
  • Liu WK, Jun S, Zhang YF, Reproducing kernel particle methods, Int J Num Meth Fluids 20, 1081–1106, 1995.
  • Liu WK, Jun S, Li S, Adee J, Belytschko T, Reproducing kernel particle methods for structural dynamics, Int J Num Meth Eng 38, 1655–1679, 1995.
  • Chen JS, Pan C,Wu CT, Liu WK, Reproducing kernel particlemethods for large deformation analysis of non-linear structures, Comput Method Appl Mech Eng 139, 195–227, 1996.
  • Zhang GM, Batra RC, Modified smoothed particle hydrodynamics method and its application to transient problems, Comput Mech 34, 137–146, 2004.
  • Batra RC, Zhang GM, Analysis of adiabatic shear bands in elasto-thermo- viscoplastic materials by modified smoothedparticle hydrodynamics (MSPH) method, J Comput Phys 201, 172–190, 2004.
  • Zhang GM, Batra RC, Wave propagation in functionally graded materials by modified smoothed particle hydrodynamics (MSPH) method, J Comput Phys 222, 374–390, 2007.
  • Batra RC, Zhang GM, Search algorithm, and simulation of elastodynamic crack propagation by modified smoothed particle hydrodynamics (MSPH) method, Comput Mech 40, 531–546, 2007.
  • Zhang GM, Batra RC, Symmetric smoothed particle hydrodynamics (SSPH) method and its application to elastic problems, Comput Mech 43, 321-340, 2009.
  • Batra RC, Zhang GM, SSPH basis functions for meshless methods, and comparison of solutions with strong and weak formulations, Comput Mech 41, 527-545, 2008.
  • Tsai CL, Guan YL, Batra RC, Ohanehi DC, Dillard JG, Nicoli E, Dillard DA, Comparison of the performance of SSPH and MLS basis functions for two-dimensional linear elastostatics problems including quasistatic crack propagation, Comput Mech 51, 19-34, 2013.
  • Karamanli A, Mugan A, Solutions of two–dimensional heat transfer problems by using symmetric smoothed particle hydrodynamics method, Journal of Applied and Computational Mathematics 1, 1-6, 2012.
  • Karamanli A, Mugan A, Strong from meshless implementation of Taylor series method, Appl. Math. Comput. 219, 9069-9080,2013 .
  • Karamanli A, Different Implementation Approaches of the Strong Form Meshless Implementation of Taylor Series Method, International Journal of Engineering Technologies, Vol. 1, No:3, 2015.
  • Wang JM, Reddy JN, Shear deformable beams and plates, relationships with classical solutions. Elsevier, Oxford, 2000.
There are 18 citations in total.

Details

Journal Section Articles
Authors

Armagan Karamanli

Publication Date December 23, 2015
Published in Issue Year 2015 Volume: 1 Issue: 4

Cite

APA Karamanli, A. (2015). Bending Deflection Analysis of a Semi-Trailer Chassis by Using Symmetric Smoothed Particle Hydrodynamics. International Journal of Engineering Technologies IJET, 1(4), 134-140. https://doi.org/10.19072/ijet.49184
AMA Karamanli A. Bending Deflection Analysis of a Semi-Trailer Chassis by Using Symmetric Smoothed Particle Hydrodynamics. IJET. December 2015;1(4):134-140. doi:10.19072/ijet.49184
Chicago Karamanli, Armagan. “Bending Deflection Analysis of a Semi-Trailer Chassis by Using Symmetric Smoothed Particle Hydrodynamics”. International Journal of Engineering Technologies IJET 1, no. 4 (December 2015): 134-40. https://doi.org/10.19072/ijet.49184.
EndNote Karamanli A (December 1, 2015) Bending Deflection Analysis of a Semi-Trailer Chassis by Using Symmetric Smoothed Particle Hydrodynamics. International Journal of Engineering Technologies IJET 1 4 134–140.
IEEE A. Karamanli, “Bending Deflection Analysis of a Semi-Trailer Chassis by Using Symmetric Smoothed Particle Hydrodynamics”, IJET, vol. 1, no. 4, pp. 134–140, 2015, doi: 10.19072/ijet.49184.
ISNAD Karamanli, Armagan. “Bending Deflection Analysis of a Semi-Trailer Chassis by Using Symmetric Smoothed Particle Hydrodynamics”. International Journal of Engineering Technologies IJET 1/4 (December 2015), 134-140. https://doi.org/10.19072/ijet.49184.
JAMA Karamanli A. Bending Deflection Analysis of a Semi-Trailer Chassis by Using Symmetric Smoothed Particle Hydrodynamics. IJET. 2015;1:134–140.
MLA Karamanli, Armagan. “Bending Deflection Analysis of a Semi-Trailer Chassis by Using Symmetric Smoothed Particle Hydrodynamics”. International Journal of Engineering Technologies IJET, vol. 1, no. 4, 2015, pp. 134-40, doi:10.19072/ijet.49184.
Vancouver Karamanli A. Bending Deflection Analysis of a Semi-Trailer Chassis by Using Symmetric Smoothed Particle Hydrodynamics. IJET. 2015;1(4):134-40.

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