Double-Layer Grids: Review of Static and Thermal Analysis Methods
Publication: Journal of Structural Engineering
Volume 122, Issue 8
Abstract
This paper is the first part of a two-part general review paper on static and dynamic analysis methods, and special topics for the design of double-layer grids (DLGs). This work is part of the forthcoming report of the ASCE Task Committee on Double Layer Grids. In this paper, the current state of the art pertaining to the static and thermal analysis techniques (including linear, nonlinear, and stability analyses) of the DLG as a space form as well as components of the system are reviewed with reference to both practical and research tools. A comprehensive reference list is provided, which covers many of the topics related to the analysis of DLGs. The companion paper discusses dynamic analysis methods and other special topics including optimization and probabilistic design considerations. The information provided is useful to both the practicing engineer and the researcher. Some of the topics presented may not be directly applicable to routine design practice, but they are issues that need to be considered as the design and construction capabilities are enhanced.
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References
1.
Ackroyd, M. H., and Gerstle, K. H.(1983). “Elastic stability of flexibly connected frames.”J. Struct. Engrg., ASCE, 109(1), 241–245.
2.
Anderson, M. S.(1981). “Buckling of periodic lattice structures.”AIAA J., 19(6), 782–788.
3.
Avent, R. R., and Issa, R. R. A.(1982). “Beam element stiffness matrix for X-braced truss.”J. Struct. Div., ASCE, 108(10), 2192–2210.
4.
Avent, R. R., and Issa, R. R. A. (1989). “Discrete field stability analysis of latticed towers.”Structural design, analytical test, ASCE, New York, N.Y., 932–941.
5.
Bathe, K.-J. (1982). Finite element procedures in engineering analysis . Prentice-Hall, Inc., Englewood Cliffs, N.J.
6.
Bhagavan, N., and Gopalakrishnan, N. (1993). “Simplified analysis of a space grid roof system.”Space structures-4, G. A. R. Parke and C. M. Howard, eds., Vol. 2, Thomas Telford, London, England, 1365–1373.
7.
Blandford, G. E.(1988). “Static analysis of flexibly connected thin-walled plane frames.”Comp. and Struct., 28(1), 105–113.
8.
Blandford, G. E.(1990). “Thin-walled space frame analysis with geometric and flexible connection nonlinearities.”Comp. and Struct., 30(5), 609–617.
9.
Booley, B. A., and Weiner, J. H. (1960). Theory of thermal stresses . John Wiley & Sons, Inc., New York, N.Y.
10.
Borri, C., and Hufendiek, H. W. (1984). “Geometrically-nonlinear behavior of gridshells.”Proc., 3rd Int. Conf. on Space Struct., H. Nooshin, ed., Elsevier Applied Science, London, England, 452–456.
11.
Brodka, J., and Grudka, A. (1984). “Limit state analysis of full scale experiment of double-layer grids.”Proc., 3rd Int. Conf. on Space Struct., H. Nooshin, ed., 554–558.
12.
Butterworth, J. W. (1981). “Analysis of double-layer grids.”Analysis, design and construction of double layer grids, Z. S. Makowski, ed., Applied Science Publishers, London, England, 57–91.
13.
Chajes, A., and Churchill, J.(1987). “Nonlinear frame analysis by finite element methods.”J. Struct. Engrg., ASCE, 113(6), 1221–1235.
14.
Chandra, R., Trikha, D., and Krishna, P.(1994). “Nonlinear analysis of steel space frames.”J. Struct. Engrg., ASCE, 116(4), 898–909.
15.
Chen, W., and Han, D. (1985). Tubular members in offshore structures . Pitman Publ. Inc., Marshfield, Mass.
16.
Cichon, C. (1984). “Stability analysis of elastic space trusses.”Proc., 3rd Int. Conf. on Space Struct., H. Nooshin, ed., Elsevier Applied Science, London, England, 567–570.
17.
Collins, I. M. (1984). “An investigation into the collapse behavior of double-layer grids.”Proc., 3rd Int. Conf. on Space Struct., H. Nooshin, ed., Elsevier Applied Science, London, England, 400–405.
18.
Dean, D. L., and Avent, R. (1975). “State of the art of discrete field analysis of space structures.”Proc., 2nd Int. Conf. on Space Struct., Billing & Sons Ltd., London, England, 7–16.
19.
Dianat, N. (1984). “Elastoplastic behavior of flat grids.”Proc., 3rd Int. Conf. on Space Struct., H. Nooshin, ed., Elsevier Applied Science, London, England, 423–429.
20.
Dinno, K., and Broughton, P. (1975). “An elastic-plastic analysis of grid structures.”Proc., 2nd Int. Conf. of Space Struct., W. Supple, ed., Billing & Sons Ltd., London, England, 589.
21.
El-Sheikh, A. I., and McConnel, R. E.(1993a). “Experimental study of behavior of composite space trusses.”J. Struct. Engrg., ASCE, 119(3), 747–766.
22.
El-Sheikh, A. I., and McConnel, R. E. (1993b). “Experimental study of behaviour of typical space frame joints.”Space Structures-4, G. A. R. Parke and C. M. Howard, eds., Vol. 2, Thomas Telford, London, England, 1920–1028.
23.
Epstein, M., and Tene, Y.(1971). “Nonlinear analysis of pin-jointed space trusses.”J. Struct. Div., ASCE, 97(1), 2189–2202.
24.
Fathelbab, F. (1993). “Tangent stiffness matrix for space frame members with both member and joint imperfections.”Space Structures-4, G. A. R. Parke and C. M. Howard, eds., Vol. 2, Thomas Telford, London, England, 1323–1333.
25.
Flower, W., and Schmidt, L.(1971). “Analysis of space truss as equivalent plate.”J. Struct. Div., ASCE, 97(12), 2777–2789.
26.
Frisch, H. (1970). “Coupled thermally-induced transverse plus torsional vibrations of a thin-walled cylinder of open section.”NASA TR R-333, Nat. Aeronautics and Space Admin. (NASA), Washington, D.C.
27.
Frisch, H.(1979). “Thermally induced response of flexible structures: a method for analysis.”J. Guidance & Control, 3(1), 92–94.
28.
Graham, J. D.(1970). “Solar induced bending vibration of a flexible member.”AIAA J., 8(11), 2031–2036.
29.
Han, S. E., and Kunieda, H. (1993). “Non-linear buckling analysis of double-layer latticed domes and application of modal analysis.”Space Structures-4, G. A. R. Parke and C. M. Howard, eds., Vol. 1, Thomas Telford, London, England, 302–312.
30.
Hanaor, A. (1985). “Analysis of double layer grids with material nonlinearities—a practical approach.”Space Structures, London, England, 1(1).
31.
Hanaor, A., and Ong, A.-F.(1988). “On structural redundancy in space trusses.”Int. J. Space Struct., 3(4), 237–241.
32.
Hangai, Y., Guan, F.-L., Magara, H., and Okamura, K. (1990). “Elasto-plastic buckling analysis of shallow truss structures by the generalized incremental method.”Proc., 3rd Summer Colloquium on Shell and Spatial Struct., 205–212.
33.
Heki, K. (1968). “On the effective rigidities of lattice plates.”Recent researches in structural mechanics, Tsuboi Anniversary Vol., Tokyo, Japan, 31–46.
34.
Heki, K. (1984). “The effective strength of rigidly connected lattice structures.”Proc., 3rd Int. Conf. on Space Struct., H. Nooshin, ed., Elsevier Applied Science, London, England, 436–441.
35.
Heki, K., and Fujitani, Y. (1967). “The stress analysis of grids under the action of bending and shear.”Space Structures, R. Davies, ed., Blackwell Scientific Publ., Ltd., Oxford, England, 33.
36.
Hill, C., Blandford, G., and Wang, S.(1989). “Postbuckling analysis of steel space trusses.”J. Struct. Engrg., ASCE, 115(4), 900–919.
37.
Hollaway, L., and Kolosowski, J. (1981). “Experimental investigation of double-layer grids.”Analysis, design and construction of double layer grids, Z. S. Makowski, ed., Applied Science Publishers, London, England, 269–287.
38.
Ikeda, K., and Mahin, S.(1986). “Cyclic response of steel braces.”J. Struct. Engrg., ASCE, 112(2), 342–361.
39.
Jagannathan, D. S., Epstein, H. I., and Christiano, P.(1975). “Non-linear analysis of reticulated space trusses.”J. Struct. Div., ASCE, 101(12), 2641–2659.
40.
Kam, T. Y.(1989). “Nonlinear analysis of tubular steel framed structures.”Comp. and Struct., 31(3), 445–451.
41.
Kam, T. Y., and Lee, F. S.(1986). “Nonlinear analysis of steel plane frames with initial imperfections.”Comp. and Struct., 23(4), 553–557.
42.
Kasza, F. (1993). “An alternative finite-element formulation for space beams and truss structures.”Space Structures-4, G. A. R. Parke and C. M. Howard, eds., Vol. 2, Thomas Telford, London, England, 1354–1364.
43.
Kleprlik, J. (1984). “The analysis design, construction and erection of the double layer Al Ain dome/U.A.E.”Proc., 3rd Int. Conf. on Space Struct., H. Nooshin, ed., Elsevier Applied Science, London, England, 935–940.
44.
Kollar, L. (1984). “Some new results of the equivalent continuum method for space frames.”Proc., 3rd Int. Conf. on Space Struct., H. Nooshin, ed., Elsevier Applied Science, London, England, 214–218.
45.
Kondoh, K., and Atluri, A.(1985). “Influence of local buckling on global instability: simplified, large deformation, post-buckling analyses of plane trusses.”Comp. and Struct., 21(4), 613–627.
46.
Lan, T. T. (1985). “Space structures in China.”Space Struct., London, England, 155–160.
47.
Levy, R., and Brill, D. R. (1989). “Optimization for stability of 2-bar trusses.”Comp. Utilization Struct. Engrg., Proc., 1989 ASCE Struct. Congr., ASCE, New York, N.Y., 520–529.
48.
Levy, R., Hanaor, A., and Rizzuto, N.(1994). “Experimental investigation of prestressing in double-layer grids.”Int. J. Space Struct., 9(1), 21–26.
49.
Lev Zetlin Associates. (1978). Report of the engineering investigation concerning the causes of the collapse of the Hartford Coliseum Truss Roof on January 18, 1978 . Hartford, Conn.
50.
Machaly, E.-S.(1986). “Buckling contribution to the analysis of steel trusses.”Comp. and Struct., 22(3), 445–458.
51.
Madi, U. R. (1984). “Idealizing the members behaviour in the analysis of pin-jointed spatial structures.”Proc., 3rd Int. Conf. on Space Struct., H. Nooshin, ed., Elsevier Applied Science, London, England, 462–467.
52.
Madi, U. R. (1993). “Lack of fit as a design parameter of double-layer grids.”Space Structures-4, G. Parke and C. Howard, eds., Vol. 1, Thomas Telford, London, England, 555–562.
53.
Madi, U. R., and El-Tayem, A. A.(1991). “On the effective length of compression members in double-layer grids.”Int. J. Space Struct., 6(1), 33–39.
54.
Madi, U. R., and El-Tayem, A. (1993). “Collapse patterns for double-layer grids.”Space structures-4, G. Parke and C. Howard, eds., Vol. 1, Thomas Telford, London, England, 631–639.
55.
Makowski, Z. S. (1981). “Approximate stress analysis of grid frameworks obtained by slab analogies.”Analysis, design and construction of double-layer grids, Z. S. Makowski, ed., Halsted Press, John Wiley & Sons, Inc., New York, N.Y., 185–244.
56.
Makowski, Z. S. (1993). “Space structures—a review of the development within the last decade.”Space Structures-4, G. A. R. Parke and C. M. Howard, ed., Vol. 1, Thomas Telford, London, England, 1–8.
57.
Malla, R. B., and Ghoshal, A. (1995). “Thermally induced vibrations of structures in space.”Thermal structures and materials for a new era, E. A. Thornton, ed., AIAA, Washington, D.C.
58.
Malla, R. B., and Pai, S. S.(1995). “Probabilistic response of a truss-type space structure with joint and member imperfection.”J. Spacecraft and Rockets, 32(4), 4.
59.
Malla, R., and Serrette, R.(1996). “Double-layer grids: review of dynamic analysis methods and special topics.”J. Struct. Engrg., ASCE, 122(8), 882–892.
60.
Malla, R., Nash, W., and Lardner, T.(1988). “Thermal effects on very large space structures.”J. Aerosp. Engrg., ASCE, 1(3), 171–190.
61.
Manual of steel construction: LRFD. (1994). Am. Inst. of Steel Constr., Chicago, Ill.
62.
Mau, S. T.(1989). “Stability analysis in bracing and support design.”Comp. and Struct., 31(1), 33–45.
63.
Meek, J. L., and Loganathan, S.(1989). “Large displacement analysis of space-frame structures.”Comp. Methods in Appl. Mech. and Engrg., 72, 57–75.
64.
Minimum design loads for building and other structures. (1994). ASCE, New York, N.Y.
65.
Morgan, P. R., Schmidt, L. C., and Rhodes, W. A. (1984). “Material effects on mild steel strut stability.”Proc., 3rd Int. Conf. on Space Struct., H. Nooshin, ed., Elsevier Applied Science, London, England, 388–393.
66.
Mukai, H., Wada, A., Watanabe, A., and Iwata, M. (1993). “Ductile truss structures and scaled model experiments.”Space structures-4, G. A. R. Parke and C. M. Howard, ed., Vol. 2, Thomas Telford, London, England, 1841–1850.
67.
Mullford, P. (1984). “A review of collapse analysis of space structures.”Proc., 3rd Int. Conf. on Space Struct., H. Nooshin, ed., Applied Science Publishers, London, England, 647–649.
68.
Murtha-Smith, E. A.(1994). “Compression member models for space trusses: review.”J. Struct. Engrg., ASCE, 120(8), 2399–2407.
69.
Murtha-Smith, E., and Bean, J. E.(1989). “Double layer grid space frame buckling.”Int. J. Space Struct., 4(3), 117–127.
70.
Murtha-Smith, E., and Hwang, S.-H. (1989). “Space frame experimental behavior.”Proc., 1989 Struct. Congr., ASCE, New York, N.Y., 355–364.
71.
Murtha-Smith, E., and Leary, S. (1993). “Space truss structural integrity.”Space structures-4, G. A. R. Parke and C. M. Howard, eds., Vol. 1, Thomas Telford, London, England, 640–648.
72.
Murtha-Smith, E., Hwang, S.-H., and Bean, J.(1992). “Load transfer in a space frame connection.”Int. J. Space Struct., 7(3), 191–200.
73.
Murtha-Smith, E., Hwang, S.-H., and Chou, Y. (1993). “Space truss testing.”Space structures-4, G. A. R. Parke and C. M. Howard, eds., Vol. 2, Thomas Telford, London, England, 1831–1840.
74.
Murtha-Smith, E., Chaturvedi, A., and Leary, S. (1994). “Structural integrity of space trusses.”Spatial, lattice, and tension structures, J. Abel, J. Leonard, and C. Penalba, eds., ASCE, New York, N.Y., 409–418.
75.
Mwakali, J. A. (1993). “Collapse studied of the effects of eccentricity in compression tee-section chords in double-layer space trusses.”Space structures-4, G. A. R. Parke and C. M. Howard, eds., Vol. 1, Thomas Telford, London, England, 16–27.
76.
Nayfeh, A. H., and Hefzy, M. S.(1981). “Continuum modeling of the mechanical and thermal behavior of discrete large structures.”AIAA J., 19(6), 766–773.
77.
Nee, K.-M., and Haldar, A.(1988). “Elastoplastic nonlinear post-buckling analysis of partially restrained space structures.”Comp. Meth. in Appl. Mech. and Engrg., 71, 69–97.
78.
Noble, A. H. (1985). “Space frames: diversity and flexibility.”Space structures-4, G. A. R. Parke and C. M. Howard, eds., Vol. 1, Thomas Telford, London, England, 143–146.
79.
Nonaka, T.(1973). “An elastic-plastic analysis of a bar under repeated axial loading.”Int. J. Solids Struct., 9(5), 569–580.
80.
Nonaka, T.(1977). “Approximation of yield condition for the hysteric behavior of a bar under repeated axial loading.”Int. J. Solids Struct., 13, 637–643.
81.
Nonaka, T.(1989). “Elastic-plastic bar under changes in temperature and axial load.”J. Struct. Engrg., ASCE, 115(12), 3059–3075.
82.
Noor, A. K., and Russell, W. C. (1986). “Anisotropic continuum models for beamlike lattice trusses.”Comp. Meth. in Appl. Mech. and Engrg., 57(Sep.), 257–277.
83.
Noor, A. K., Anderson, M. S., and Greene, W. H.(1978). “Continuum model for beamand plate-like lattice structures.”AIAA J., 16(12), 1219–1228.
84.
Ohkubo, S., Watada, Y., and Fujiwaki, T.(1987). “Nonlinear analysis of truss by energy minimization.”Comp. and Struct., 27(1), 129–145.
85.
O'Neill, M., and Hollaway, L.(1989). “The analytical and experimental analysis of a skeletal antenna system for space applications.”Int. J. Space Struct., 4(4), 218–230.
86.
Oran, C., and Kassimali, A.(1976). “Large deformations of framed structures under static and dynamic loads.”Comp. and Struct., 6(6), 539–547.
87.
Papadrakakis, M.(1983). “Inelastic post-buckling analysis of trusses.”J. Struct. Engrg., ASCE, 109(9), 2129–2147.
88.
Papadrakakis, M.(1985). “Inelastic cycle analysis of imperfect columns.”J. Struct. Engrg., ASCE, 111(6), 1219–1234.
89.
Papadrakakis, M. (1987). “Inelastic post-buckling analysis of space frames.”Civil engineering practice—structures, P. N. Cheremisinoff, N. P. Cheremisinoff, and S. L. Cheng, eds., Technomic Publishing, Lancaster, Pa., 537–576.
90.
Parke, G. A. R., and Walker, H. B. (1984). “A limit state design of double-layer grids.”Proc., 3rd Int. Conf. on Space Struct., H. Nooshin, ed., Applied Science Publishers, London, England, 528–532.
91.
Petersen, R. T., and Rosenberg, N. (1993). “Design against member collapse in double-layer space grids.”Space structures-4, G. A. R. Parke and C. M. Howard, eds., Vol. 1, Thomas Telford, London, England, 593–601.
92.
Rashed, A., Machaly, B., and Niazy, A.-S.(1990). “Stability of space steel frames with semirigid connection.”Comp. and Struct., 36(4), 613–622.
93.
Rashed, S., Katayama, M., Isha, H., Toda, T., Oda, K., and Yoshizaki, T. (1984). “Analysis of nonlinear and collapse behaviour of space trusses.”Proc., 3rd Int. Conf. on Space Struct., H. Nooshin, ed., Elsevier Applied Science, London, England, 480–484.
94.
Renton, J. D.(1970). “General properties of space grids.”Int. J. Mech. Sci., 12, 801–810.
95.
Renton, J. D.(1973). “Buckling of long, regular trusses.”Int. J. Solids Struct., 9, 1489–1500.
96.
Renton, J. D.(1984). “The beam-like behavior of space trusses.”AIAA J., 22(2), 273–280.
97.
Rizwan, S. A., and Bhatti, A. A. (1993). “On the performance of double-layer square-on-square grids.”Space structures-4, G. A. R. Parke and C. M. Howard, eds., Vol. 1, Thomas Telford, London, England, 614–621.
98.
Rosen, A., and Schmidt, L. A. Jr.(1979). “Design-oriented analysis of imperfect truss structures—Part I—accurate analysis.”Int. J. Numer. Methods in Engrg., 14, 1309–1321.
99.
Rothert, H., Dickel, T., and Renner, D.(1981). “Snap-through buckling of reticulated space trusses.”J. Struct. Div., ASCE, 107(1), 129–143.
100.
Sadiq, O., and Abatan, A. (1993). “Stability analysis of space truss systems under random element imperfections.”Space structures-4, G. A. R. Parke and C. M. Howard, eds., Vol. 1, Thomas Telford, London, England, 108–115.
101.
Saka, T., and Heiki, K. (1975). “The ultimate strength of double layer latticed grids.”Proc., 2nd Int. Conf. on Space Struct., W. Supple, ed., Billing & Sons, Ltd., London, England, 675–679.
102.
Saka, T., and Taniguchi, Y. (1994). “Collapse behavior of double-layer space truss grids with member buckling.”Spatial, lattice, and tension structures, J. Abel, W. Leonard, and C. Penalba, eds., ASCE, New York, N.Y., 529–538.
103.
Saka, T., Taniguchi, Y., and Konishi, H. (1993). “Load-bearing capacity of square-on-square double-layer braced domes.”Space structures-4, G. A. R. Parke and C. M. Howard, eds., Vol. 1, Thomas Telford, London, England, 349–358.
104.
Salmon, C. G., and Johnson, J. E. (1990). Steel structures—design and behavior, 3rd Ed., Harper and Row Publishers, Inc., New York, N.Y., 63–64.
105.
Saran, M., and Kleiber, M.(1986/87). “Experience with nonlinear analysis of trusses under static and dynamic loadings.”Space Struct., 2, 205–214.
106.
Schmidt, L. C., and Gregg, B. M.(1980). “A method for space truss analysis in the post-buckling range.”Int. J. Numer. Methods in Engrg., 15, 237–247.
107.
Schmidt, L. C., and Morgan, P. R. (1981). “Behaviour of some joint design in space trusses.”Proc., Metal Struct. Conf., 120–124.
108.
Schmidt, L. C., Morgan, P. R., and Stevens, L. K. (1975). “The influence of imperfections on the behaviour of a space truss.”Proc., 2nd Int. Conf. on Space Struct., W. J. Supple, ed., Billing & Sons, Ltd., London, England, 55–64.
109.
Schmidt, L. C., Morgan, P. R., and Clarkson, J. A.(1976). “Space trusses with brittle type strut buckling.”J. Struct. Div., ASCE, 102(7), 1479–1492.
110.
Schmidt, L., Morgan, P., and Hanaor, A.(1982). “Ultimate load testing of space trusses.”J. Struct. Div., ASCE, 108(6), 1326–1335.
111.
See, T., and McConnel, R.(1986). “Large displacement elastic buckling of space structures.”J. Struct. Engrg., ASCE, 112(5), 1052–1069.
112.
Sherman, D. R.(1972). “Bibliography on latticed structures.”J. Struct. Div., ASCE, 98(7), 1545–1566.
113.
Sherman, D. R.(1976). “Lattice structures: state-of-the-art report.”J. Struct. Div., ASCE, 102(11), 2197–2230.
114.
Shibata, M.(1982). “Analysis of elastic-plastic behavior of a steel brace subjected to repeated axial force.”Int. J. Solids Struct., 18(3), 217–228.
115.
Smith, E. A.(1984a). “Space truss nonlinear analysis.”J. Struct. Engrg., ASCE, 110(4), 688–705.
116.
Smith, E. A. (1984b). “Ductility in double layer grid space structures.”Proc., 3rd Int. Conf. on Space Struct., H. Nooshin, ed., 510–515.
117.
Soare, M. (1975). “Contribution to the analysis of double-layer mesh grids.”Proc., 2nd Int. Conf. on Space Struct., W. J. Supple, ed., 159–163.
118.
Soare, M. V. (1984). “Investigation of the collapse of a large-span braced dome.”Design and construction of braced domes, Nichols Publishing Co., New York, N.Y., 161–173.
119.
Stoman, S. H.(1993). “Nonlinear analysis of frames with member unloading.”Comp. and Struct., 46(6), 969–978.
120.
Stricklin, J. A., and Haisler, W. E.(1977). “Formulations and solution procedures for nonlinear structural analysis.”Comp. and Struct., 7, 125–136.
121.
Stricklin, J., Haisler, W., and Von Riesemann, W. A.(1971). “Geometrically nonlinear analysis by direct stiffness method.”J. Struct. Div., ASCE, 97(9), 2299–2314.
122.
Supple, W. J., and Collins. (1981). “Limit state analysis of double-layer grids.”Analysis, design and construction of double layer grids, Z. S. Makowski, ed., Applied Science Publishers, London, England, 93–117.
123.
Suto, F., Wada, A., and Sugihara, K.(1988). “Some aspects of reliability and safety of space frames.”Int. J. Space Struct., 3(4), 197–216.
124.
Suzuki, T., and Ogawa, T. (1984). “Buckling analysis of double-layer grids, roofs, and truss-like beams.”Proc., 3rd Int. Conf. on Space Struct., H. Nooshin, ed., Elsevier Applied Science, London, England, 474–479.
125.
Suzuki, T., Ogawa, T., Tsushima, Y., Kimura, M., and Kaneko, H. (1993). “Stability of a space truss composed of square pyramid units.”Space structures-4, G. A. R. Parke and C. M. Howard, eds., Vol. 1, Thomas Telford, London, England, 78–88.
126.
Szabo, J., and Tarnai, T. (1993). “General theory and numerical analysis of singleand double layer pin-jointed space grids.”Space structures-4, G. A. R. Parke and C. M. Howard, eds., Vol. 1, Thomas Telford, London, England, 715–722.
127.
Tada, M., and Wakiyama, K. (1993). “Load-carrying capacity of space trusses under the influence of imperfections.”Space structures-4, G. A. R. Parke and C. M. Howard, eds., Vol. 1, Thomas Telford, London, England, 205–212.
128.
Tamma, K., and Saw, K.(1987). “Reduced modeling and analysis of large repetitive space structures via continuum discrete concepts.”Comp. and Struct., 25(3), 321–333.
129.
Tanaka, K., Kondoh, K., and Atluri, S. N.(1985). “Instability analysis of space trusses using exact tangent-stiffness matrices.”Finite elements in analysis and design, 1, 291–311.
130.
Taniguchi, Y., Saka, T., and Shuku, Y. (1993). “Buckling behavior of space trusses constructed by a bolted jointing system.”Space structures-4, G. A. R. Parke and C. M. Howard, eds., Vol. 1, Thomas Telford, London, England, 89–98.
131.
Tarzi, A. I. (1981). “A general theory for the analysis of regular structures by the calculus of finite differences.”Analysis, design and construction of double layer grids, Z. S. Makowski, ed., Applied Science Publishers, London, England, 245–268.
132.
Thomsen, K. (1975). “Trends in the design of double-layer space grids.”Proc., 2nd Int. Conf. on Space Struct., W. J. Supple, ed., Billing & Sons Ltd., London, England, 382–386.
133.
Thornton, E. A., and Paul, D. B. (1985). “Thermal structural analysis of large space structures: an assessment of recent advances.”J. Spacecraft and Rockets, 22(4), 385–392.
134.
Toader, I. H.(1993). “Stability functions for members with semirigid joint connections.”J. Struct. Engrg., ASCE, 119(2), 505–521.
135.
Toma, S., and Chen, W. F.(1979). “Analysis of fabricated tubular columns.”J. Struct. Div., ASCE, 105(11), 2343–2366.
136.
Trentadue, F. (1993). “Effect of initial imperfections on the buckling of space truss structures.”Space structures-4, G. A. R. Parke and C. M. Howard, eds., Vol. 1, Thomas Telford, London, England, 99–107.
137.
Tsuboi, Y. (1984). “Analysis, design and realization of space frames: a state-of-the-art report.”Bull. Int. Assn. of Shell and Spatial Struct., n. 84/85. Vol. XXV-1/2.
138.
Tsuchiya, K.(1977). “Thermally induced vibrations of a flexible appendage attached to a spacecraft.”AIAA J., 15(4), 505–510.
139.
Uduma, K., Olowokere, O. D., and Arciszewski, T. (1989). “Survey of existing studies on the strength and deformation of spherical joints in steel spaced trusses.”Engrg. J., 102–109.
140.
Uniform building code, structural engineering design provisions. (1994). International Conference of Building Officials, Whittier, Calif.
141.
Van Laethen, M., De Coen, J., Jiang, D., Ramnant, J.-P., and Rogier, J. (1975). “Stability of double layer space structure.”Proc., 2nd Int. Conf. on Space Struct., W. Supple, ed., Billing & Sons Ltd., London, England, 745–749.
142.
Wolf, J.(1973). “Post-buckled strength of large space-truss.”J. Struct. Div., ASCE, 99(7), 1708–1712.
143.
Yarza, A., Cavia, P., and Parke, G. A. R. (1993). “An introduction to the fire analysis of double-layer grids.”Space structures-4, G. A. R. Parke and C. M. Howard, eds., Vol. 1, Thomas Telford, London, England, 683–691.
144.
Zienkiewicz, O. C. (1977). The finite element method, 3rd Ed., McGraw-Hill Book Co., Inc., New York, N.Y.
145.
Zienkiewicz, O. C., Valliappan, S., and King, I. P.(1969). “Elasto-plastic solutions of engineering problems `initial stress,' finite element approach.”Int. J. Numer. Methods in Engrg., 1, 75–100.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 122 • Issue 8 • August 1996
Pages: 873 - 881
Copyright
Copyright © 1996 American Society of Civil Engineers.
History
Published online: Aug 1, 1996
Published in print: Aug 1996
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