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.

Issue Section:
Research Papers
Topics:
Rods, Shear stress, Stiffness, Stress, Torsion

References

1.
Vlasov
,
V. Z.
,
1961
, “
Thin-Walled Elastic Beams
,”
Office of Technical Services
,
U.S. Department of Commerce
,
Washington, DC
,
TT-61-11400
.
2.
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
.
3.
Flügge
,
W.
, and
Marguerre
,
K.
,
1950
, “
Wölbkräfte in dünnwandigen Profilstäben
,”
Ing.-Arch.
,
18
,
pp.
23
–
38
.10.1007/BF00537588
Google Scholar
Crossref
Search ADS
 
4.
Timoshenko
,
S.
, and
Gere
,
J. M.
,
1961
,
Theory of Elastic Stability
,
McGraw-Hill
,
New York
.
5.
Chilver
,
A. H.
, ed.,
1967
,
Thin-Walled Structures
,
John Wiley & Sons Inc.
,
New York
.
6.
Librescu
,
L.
, and
Song
,
O.
,
2006
,
Thin-Walled Composite Beams, Theory and Application
,
Springer, Berlin
.
7.
Heilig
,
R.
,
1961
, “
Beitrag zur Theorie der Kastenträger beliebiger Querschnittsform
,”
Der Stahlbau
30
,
pp.
333
–
349
.
8.
Graße
,
W.
,
1965
, “
Wölbkrafttorsion dünnwandiger prismatischer Stäbe beliebigen Querschnitts
,”
Ing.-Arch.
,
24
,
pp.
330
–
338
.
Google Scholar
Crossref
Search ADS
 
9.
Slivker
,
V.
,
2007
,
Mechanics of Structural Elements, Theory and Applications
,
Springer, Berlin
.
10.
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
.10.1016/0263-8231(90)90058-7
Google Scholar
Crossref
Search ADS
 
11.
Bazant
,
Z. P.
, and
Cedolin
,
L.
,
1991
,
Stability of Structures
,
Oxford University Press
,
Oxford, England
.
12.
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
.10.1002/(SICI)1099-0887(199904)15:4<263::AID-CNM241>3.0.CO;2-C
Google Scholar
Crossref
Search ADS
 
13.
Prokic
,
A.
,
2003
, “
Stiffness Method of Thin-Walled Beams With Closed Cross-Section
,”
Comput. Struct.
,
81
,
pp.
39
–
51
.10.1016/S0045-7949(02)00345-0
Google Scholar
Crossref
Search ADS
 
14.
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
.
15.
Siev
,
A.
,
1966
, “
Torsion in Closed Sections
,”
Eng. J.
,
3
(
1
),
pp.
46
–
54
.
16.
Boresi
,
A. P.
, and
Schmidt
,
R. J.
,
2002
,
Advance Stress of Materials
, 6th ed.,
Wiley and Sons
,
New York
.
17.
Salmon
,
C. G.
, and
Johnson
,
J. E.
,
1996
,
Steel Structures
, 4th ed.,
HarperCollins College Publishers
,
New York
.
18.
Novozhilov
,
V. V.
,
1970
,
Thin Shell Theory
,
Wolters-Noordhoff
,
Groningen, The Netherlands
.
19.
Karman
,
T.
,
1911
, “
Über die Formänderung dünnwandiger Rohre, insbesondere federnder Ausgleichrohre
,”
Z. Ver. Deut. Ing.
,
55
,
pp.
1889
–
1895
.
20.
Clark
,
R. A.
, and
Reissner
,
E.
,
1951
,
Bending of Curved Tubes, Advances in Applied Mechanics
,
Vol.
II
,
Academic Press
,
San Diego
,
pp.
93
–
122
.
21.
Whatham
,
J. F.
,
1981
, “
Thin Shell Equations for Circular Pipe Bends
,
Nucl. Eng. Des.
,
65
,
p.
77
.10.1016/0029-5493(81)90121-7
Google Scholar
Crossref
Search ADS
 
22.
Whatham
,
J. F.
,
1981
, “
Thin Shell Analysis of Non-Circular Pipe Bends
,
Nucl. Eng. Des.
,
67
,
pp.
287
–
296
.10.1016/0029-5493(82)90147-9
Google Scholar
Crossref
Search ADS
 
23.
Cherniy
,
V. P.
,
2001
, “
Effect of Curved Bar Properties on Bending of Curved Pipes
,”
Trans. ASME, J. Appl. Mech.
,
68
,
pp.
650
–
655
.10.1115/1.1357518
Google Scholar
Crossref
Search ADS
 
24.
Reissner
,
E.
,
1946
, “
Analysis of Shear Lag in Box Beams by the Principle of Minimum Potential Energy
,
Q. Appl. Math.
,
4
,
pp.
268
–
278
.
Google Scholar
Crossref
Search ADS
 
25.
Kobelev
,
V. V.
, and
Larichev
,
A. D.
,
1988
, “
Model of Thin-Walled Anisotropic Rods
,”
Mech. Compos. Mater.
,
24
,
pp.
97
–
104
.10.1007/BF00611341
Google Scholar
Crossref
Search ADS
 
26.
Kollar
,
L. P.
, and
Pluzsik
,
A.
,
2002
, “
Analysis of Thin-Walled Composite Beams With Arbitrary Layup
,”
J. Reinf. Plast. Comp.
,
21
,
p.
1423
.10.1177/0731684402021016928
Google Scholar
Crossref
Search ADS
 
27.
Kobelev
,
V.
,
Klaus
,
U.
,
Scheffe
,
U.
, and
Ivo
,
J.
,
2009
,
European Patent EP2281701
,
Querträger für eine Verbundlenkerachse
.
28.
Reimpell
,
J.
,
Stoll
,
H.
, and
Betzler
,
J. W.
,
2001
,
The Automotive Chassis, Engineering Principles
,
Elsevier, Oxford
,
England
.
29.
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
.
Google Scholar
Crossref
Search ADS
 
30.
Gillespie
,
T. D.
,
1992
,
Fundamentals of Vehicle Dynamics
,
Society of Automotive Engineers
,
Warrendale, PA
.
31.
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
.10.1007/s12239-009-0001-9
Google Scholar
Crossref
Search ADS
 
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