The present paper investigates the dynamic response characteristics of single layer reticular domes subjected to horizontal earthquake motions from the following view points: (1) how to estimate the statically equivalent seismic forces applied to domes both for high rise and low rise; and (2) how to estimate the collapse accelerations under which the domes collapse dynamically. For these purposes, linear response analyses, linear buckling analyses, geometrically and materially nonlinear static analyses and geometrically and materially nonlinear earthquake response analyses are performed. Based on the results, the collapse accelerations are expressed as a function of the safety factor for domes under self weight. The expression for the collapse accelerations leads to an approximate measure by which structural designers may balance the static resistant capacity under self weight and the dynamic resistant capacity under earthquake motions.
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References
1.
KatoS.MurataM., Dynamic Elasto-Plastic Buckling Simulation System of Single Layer Reticular Domes with Semi-rigid Connections under Multiple Loadings, J. of Space Structures, Vol. 12, No. 3, 1997, pp. –.
2.
KatoS.MukaiyamaY.UekiT., Dynamic Behaviour of High Rise Single Layered Domes subjected to earthquake Motions, J. Structural and Construction Engineering, AIJ, No. 442, Dec. 1992, pp. 101–109.
3.
MukaiyamaY.UekiT.KatoS.KuboderaI., Study on Elasto-Plastic Dynamic Buckling Behaviour of High-Rise Single Layered Domes, Proc. of IASS-CSCE International Congress 1992 on Innovative Large Span Structures – Concept, design, Construction –, Vol. 2, Toronto, 1992, pp. 688–697.
4.
KatoS.MukaiyamaY., Dynamic Behaviour of Low Rise Single Layered Domes Subjected to Earthquake Motions, J. Structural and Construction Engineering, AIJ, No. 488, Oct., 1996, pp. 87–96.
5.
KatoS.ShoumuraM.MukaiyamaM., Study on Dynamic Behavior and Collapse Acceleration of Single Layer Reticular Domes Subjected to Horizontal and Vertical Earthquake Motions, J. Structural and Construction Engineering, AIJ, No. 477, Nov. 1995, pp. 87–96.
6.
KatoS.ShoumuraM.MukaiyamaY.MutohI.KubotaK., Dynamic Behavior and Collapse Acceleration of Single Layer Reticular Domes under Actual Earthquake Motions, Proc. Asia-Pacific Conference on Shell and Spatial Structures, Beijing, China, 1996, pp. 704–711.
7.
ChanS.L., Geometric and Material Non-linear Analysis of Beam-Columns and Frames Using the Minimum residual Displacement Method, Internl. J. for Numerical Methods in engineering, Vol. 26, 1988, pp. 2657–2669.
8.
IshikawaK.KatoS., Elastic-Plastic buckling Analysis of Reticular Domes subjected to Earthquake Motions, J. of Space Structures, Vol. 1997, pp. –.
9.
IshikawaK.KatoS., Dynamic buckling behaviour of single and double layer latticed domes due to vertical earthquake motions, Proc. of Space Structures 4, Guildford, Vol. 1, 1993, pp. 466–475.
10.
IshikawaK.KatoS., Earthquake Resistant Capacity of Double Layer Latticed Dome due to Vertical Motions, J. Structural and Construction Engineering, AIJ, No. 447, May, 1993, pp. 79–88.
11.
IshikawaK.KatoS., Earthquake Resistant Capacity of Double Layer Latticed Domes with Additional Masses Subjected to Vertical Motions, J. Structural and Construction Engineering, AIJ, No. 475, Sep., 1995, pp. 119–127.
12.
KatoS.IshikawaK., Materially Non-linear Stability of a Double-Layer Grid Due to Vertical Earthquake Motions, Proc. of IASS on Shells, Membranes and Space Frames, Vol. 3, Tokyo, 1986, pp. 9–16.
13.
KatoS.IshikawaK.TakashimaH., Dynamic Analysis of a Simply Supported Spherical Shell with a Square Plan subjected to Vertical Earthquake Motions, Proc. of IASS proc. of the International Colloquium on Space structures for Sport Buildings, Beijing, Oct., 1987, pp. 152–160.
14.
SimitsesG.J., An Introduction to the Elastic Stability of Structures, Prentice-Hall, 1976.
15.
ChenW.C.LuiE.M., Structural Stability – Theory and Implementation, Elsevier, 1987
16.
Architectural Institute of Japan, Design Standards for Steel Structures, AIJ, 1970.
17.
ShibataR.KatoS.UekiT., Study on an Elasto-Plastic Buckling Load of a Rigidly Jointed single Layer Shallow Reticular Dome, J. Structural and Construction Engineering, AIJ, No. 449, July, 1993, pp. 143–153.
18.
UekiT.MatsushitaF.ShibataR.KatoS., Design procedure for large single-layer latticed domes, Proc. of Space Structures 4, Guildford, Vol. 1, 1993, pp. 237–246.
19.
KatoS.ShibataR.UekiT.MatsushitaF., Buckling Load Estimation for Single Layer Domes by the Concept of Column Strength Curves, Proc. of IASS-MSU International Symposium on Public Assembly Structures, Istanbul, 1993, pp. 507–512.
20.
KatoSMutoIShoumuraM, Effect of Joint Rigidity on Buckling Strength of Single Layer Lattice Domes, Proc. of IASS-ASCE International Symposium on Spatial, Lattice and Tension Structures, Atlanta, 1994, pp.468–447
21.
KatoS.ShoriT., A Modified Thin-Layered Far Field Soil Element For Soil-Structure Interaction of Axisymmetric Structures, Computers and Geotechnics, Vol. 2, 1986, pp. 167–184.
