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Research Papers

Thin-Walled Rods With Semiopened Profiles

[+] Author and Article Information
V. Kobelev

Dept. Mechanical Engineering,
University of Siegen,
Paul-Bonatz-Straße 9-11,
D-57068 Siegen, Germany,
email: kobelev@imr.mb.uni-siegen.de

Manuscript received March 24, 2010; final manuscript received May 28, 2012; accepted manuscript posted June 6, 2012; published online October 29, 2012. Editor: Robert M. McMeeking.

J. Appl. Mech 80(1), 011011 (Oct 29, 2012) (13 pages) Paper No: JAM-10-1093; doi: 10.1115/1.4006935 History: Received March 24, 2010; Revised May 28, 2012; Accepted July 06, 2012

The analysis of thin-walled rods with semiopened cross-section is performed in this article. An essential characteristic for this class of thin-walled beamlike structures is their closed but flattened profile. The unusual shape of semiopened thin-walled beams allows the efficient optimization due to wide variability of shapes. One popular application of the theory of semiopened thin-walled beams is the twist beam of the semisolid suspension.

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References

Vlasov, V. Z., 1961, “Thin-Walled Elastic Beams,” Office of Technical Services, U.S. Department of Commerce, Washington, DC, TT-61-11400.
Timoshenko, S., 1945, “Theory of Bending, Torsion, and Buckling of Thin-Walled Members of Open Cross-Section,” J. Franklin. Inst., pp.239, 201–219, 249–268, 343–361.
Flügge, W., and Marguerre, K., 1950, “Wölbkräfte in dünnwandigen Profilstäben,” Ing.-Arch., 18, pp.23–38. [CrossRef]
Timoshenko, S., and Gere, J. M., 1961, Theory of Elastic Stability, McGraw-Hill, New York.
Chilver, A. H., ed., 1967, Thin-Walled Structures, John Wiley & Sons Inc., New York.
Librescu, L., and Song, O., 2006, Thin-Walled Composite Beams, Theory and Application, Springer, Berlin.
Heilig, R., 1961, “Beitrag zur Theorie der Kastenträger beliebiger Querschnittsform,” Der Stahlbau30, pp.333–349.
Graße, W., 1965, “Wölbkrafttorsion dünnwandiger prismatischer Stäbe beliebigen Querschnitts,” Ing.-Arch., 24, pp.330–338. [CrossRef]
Slivker, V., 2007, Mechanics of Structural Elements, Theory and Applications, Springer, Berlin.
Laudiero, F., and Savoia, M., 1990, “Shear Strain Effects in Flexure and Torsion of Thin-Walled Beams With Open or Closed Cross-Section,” J. Thin-Walled Struct., 10, pp.87–119. [CrossRef]
Bazant, Z. P., and Cedolin, L., 1991, Stability of Structures, Oxford University Press, Oxford, England.
Wang, Q., 1999, “Effect of Shear Lag on Buckling of Thin-Walled Members With Any Cross-Section,” Commun. Numer. Meth. Eng.15, pp.263–272. [CrossRef]
Prokic, A., 2003, “Stiffness Method of Thin-Walled Beams With Closed Cross-Section,” Comput. Struct., 81, pp.39–51. [CrossRef]
Tamberg, K. G., and Mikluchin, P. T., 1973, Torsional Phenomena Analysis and Concrete Structure Design, Analysis of Structural Systems for Torsion, American Concrete Institute, Farmington Hills, MI, SP-35, pp.1–102.
Siev, A., 1966, “Torsion in Closed Sections,” Eng. J., 3(1), pp.46–54.
Boresi, A. P., and Schmidt, R. J., 2002, Advance Stress of Materials, 6th ed., Wiley and Sons, New York.
Salmon, C. G., and Johnson, J. E., 1996, Steel Structures, 4th ed., HarperCollins College Publishers, New York.
Novozhilov, V. V., 1970, Thin Shell Theory, Wolters-Noordhoff, Groningen, The Netherlands.
Karman, T., 1911, “Über die Formänderung dünnwandiger Rohre, insbesondere federnder Ausgleichrohre,” Z. Ver. Deut. Ing., 55, pp.1889–1895.
Clark, R. A., and Reissner, E., 1951, Bending of Curved Tubes, Advances in Applied Mechanics, Vol.II, Academic Press, San Diego, pp.93–122.
Whatham, J. F., 1981, “Thin Shell Equations for Circular Pipe Bends, Nucl. Eng. Des., 65, p.77. [CrossRef]
Whatham, J. F., 1981, “Thin Shell Analysis of Non-Circular Pipe Bends, Nucl. Eng. Des., 67, pp.287–296. [CrossRef]
Cherniy, V. P., 2001, “Effect of Curved Bar Properties on Bending of Curved Pipes,” Trans. ASME, J. Appl. Mech., 68, pp.650–655. [CrossRef]
Reissner, E., 1946, “Analysis of Shear Lag in Box Beams by the Principle of Minimum Potential Energy, Q. Appl. Math., 4, pp.268–278.
Kobelev, V. V., and Larichev, A. D., 1988, “Model of Thin-Walled Anisotropic Rods,” Mech. Compos. Mater., 24, pp.97–104. [CrossRef]
Kollar, L. P., and Pluzsik, A., 2002, “Analysis of Thin-Walled Composite Beams With Arbitrary Layup,” J. Reinf. Plast. Comp., 21, p.1423. [CrossRef]
Kobelev, V., Klaus, U., Scheffe, U., and Ivo, J., 2009, European Patent EP2281701, Querträger für eine Verbundlenkerachse.
Reimpell, J., Stoll, H., and Betzler, J. W., 2001, The Automotive Chassis, Engineering Principles, Elsevier, Oxford, England.
Linnig, W., Zuber, A., Frehn, A., Leontaris, G., and Christophliemke,, W., 2009, “Die Verbundlenkerhinterachse. Auslegung, Materialien, Prozesse und Konzepte,” ATZ—Automobiltechnische Zeitschrift, 111, pp.100–109.
Gillespie, T. D., 1992, Fundamentals of Vehicle Dynamics, Society of Automotive Engineers, Warrendale, PA.
Choi, B.-L., Choi, D.-H., Min, J., Jeon, K., Park, J., Choi, S., and Ko, J.-M., 2009, “Torsion Beam Axle System Design With a Multidisciplinary Approach, Int. J. Automot. Techn., 10(1), pp.49–54 . [CrossRef]

Figures

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Fig. 1

Open, closed, and semiopened profiles

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Fig. 2

Geometry of semiopened profile and local coordinate system

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Fig. 3

Coordinate system, associated with the baseline of the semiopened profile

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Fig. 4

Tangential and shear stresses in the semiopened profile

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Fig. 5

Equilibrium of stresses in the element of semiopened profile

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Fig. 6

Principal elements of the semisolid axle

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Fig. 7

Twist moment of the semiopened profile My and loads on the wheels due to vehicle roll moment

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Fig. 8

Terminal bending moments of the semiopened profile due to lateral load in vehicle side direction

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Fig. 9

Terminal bending moments of the semiopened profile due to twist moment on the wheel in vehicle travel direction

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Fig. 10

Cross-section of semiopened twist beam with V1-profile

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Fig. 11

Cross-section of semiopened twist beam with Y-profile

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Fig. 12

Cross-section of semiopened twist beam with X-profile

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Fig. 13

Cross-section of semiopened twist beam with Cruz-profile

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Fig. 14

Cross-section of semiopened twist beam with H-profile

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Fig. 15

Cross-section of semiopened twist beam with U-profile

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Fig. 16

Cross-section of semiopened twist beam with V2-profile

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