Dynamic Member Failure in Trusses by Pseudo-Force Method

Abstract

The paper presents a systematic technique based on “pseudo-force” concept to determine dynamic response of truss structures during sudden progressive member failure. Emphasis has been given to the dynamic nature of the member failure and effects of such dynamic member failure on the overall structural behaviour. Responses of two-dimensional cantilever truss and a three-dimensional, corner supported, double-layer grid truss structure were investigated during sudden failure of some compressive members. In the method the sudden reduction in the load carrying capacity of a member is represented by external forces applied suddenly at the end joints of the member. Results obtained delineate the dynamic effects of member failure on joint displacements and member forces/stresses. In the present study the method is established for linear analysis. However, the pseudo-force approach can be extended for non-linear analysis and to represent the member snap-through and dynamic jump due to inelastic member buckling/post buckling in a truss-type structure.

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References

Smith

, and Epstein

, “Hartford coliseum roof collapse: structural sequence and lesson learned,” Civil Engineering, ASCE, 52(4), April 1980, 59-62.

Holzer

(Chair), “Dynamic consideration in latticed structures,” J. of Structural Engineering, ASCE, 110(10), Oct. 1984, 2547-2551. (Publication by the TASK COMMITTEE on Latticed Structures under Extreme Loads of the Committee on Special Structures of the ASCE – Structural Division).

Murtha-Smith

“Alternate path analysis of space trusses for progressive collapse,” J. of Struct. Engrg., ASCE, 114(9), Sept. 19881978-1999.

Davies

, and Neal

“The dynamic behaviour of a strut in a truss framework,” Proc. Royal Soc., A253, 1959, 542-562.

Schmidt

, Morgan

, and Clarkson

, “Space trusses with brittle type strut buckling,” J. of the Structural Div., ASCE, 102(ST7), July 1976, 1479-1492.

Supple

W.J.

and Collins

, “Limit state analysis of double-layer grids,” in: Makowski

Z.S.

(ed.), Analysis, Design and Construction of Double-layer Grids, Applied Science Publishers Ltd., London, 1981, 93-117.

Malla

and Wang

, “Response of space structures under sudden local damage,” in: Sadeh

, Sture

, and Miller

(eds), Engineering, Construction, and Operations in SPACE III, Vol. 1, ASCE, New York, May 1992, 909-920.

Malla

and Wang

, “A method to determine dynamic response of truss structure during sudden consecutive member failure,” in: Parke

, and Howard

, (eds.), Space Structure-4, Vol. 1, Thomas Telford, London, 1993, 413-422.

Malla

, and Nalluri

, “Dynamic effects of member failure on the response of truss type space structures,” J. of Spacecraft and Rockets, AIAA, 32(3), May/June, 545-551.

10.

Malla

, Wang

, and Nalluri

, “Dynamic effects of progressive member failure on the response of truss structures,” in: Malla

(ed.), Dynamic Response and Progressive Failure of Special Structures, ASCE, New York, Dec. 1993, 60-76.

11.

Morris

, “Effects of member snap on space truss collapse,” J. of Engineering Mechanics, ASCE, 119(4), April 1993, 870-886.

12.

Morris

, “The Effect of Member Snap on Progressive Collapse of Space Structures,” in: Malla

(ed.), Dynamic Response and Progressive Failure of Special Structures, ASCE, New York, Dec. 1993, 17-31.

13.

Clough

, and Wilson

, “Dynamic Analysis of Large Structural Systems with Localized Non-linearities,” Comp. Meth. in Appld, Mech. and Engrg., North Holland Publ. Co., Vol. 17/18, 1979, 107-129.

14.

Clough

R.W.

, and Penzien

, Dynamics of Structures, 2nd Ed., McGraw-Hill, Inc., New York, 1993, 332-340.

15.

Filho

F.V.

, Continho

, Landeau

, Lima

, and Ebecken

, “Nonlinear Dynamic Analysis Using the Pseudo-Force Method and the Lanczos Algorithm,” Computers & Structures, 30(4), 1988, 979-983.

16.

Bathe

K-J.

, Finite Element Procedures in Engineering Analysis, Prentice Hall Inc., Englewood Cliffs, New Jersey, 1982.

17.

Wang

, Linear Dynamic Response of Truss Structures During Sudden Member Failure, M.S. Thesis, Dept. of Civil Engnrg., Univ. of Conn., USA, 1994.

18.

Weaver

, Timoshenko

, and Young

, Vibration Problems in Engineering, 5th Ed., John Wiley & Sons, New York, 1990, 103-105.

19.

Craig

, Structural Dynamics – An Introduction to Computer Methods, John Wiley & Sons, New York, 1981, 115-117.

20.

Malla

(P.I.), “DYNFAIL: Dynamic member failure” – a FORTRAN computer program for dynamic analysis of truss-type structures during member failure. Dept. of Civil Engineering, Univ. of Conn., Storrs, CT, 1992 - on going.