Multi-Dimensional Pseudo Excitation Method for Nonstationary Random Seismic Analysis of Spatial Lattice Shells

Abstract

Lattice shell is a type of spatial structure whose vibrations are dominated by both horizontal and vertical motion. In this paper, a multidimensional pseudo excitation method is developed for nonstationary random seismic analysis of structures under multi-support and multi-dimensional earthquake excitations, in which the phase lags between the excitations have been involved. Mathematical formulations are derived. A method of evaluating peak responses is recommended. Multi-dimensional seismic random models are discussed. A random vibration analysis is performed for a double-layer cylindrical lattice shell to investigate its seismic performance. It is shown that the developed method is a highly efficient algorithm, which can easily solve the nonstationary problem of large structures under multi-support and multidimensional earthquake excitations.

References

Cao

Zhang

(2000). A study on the seismic response of lattice shells. International Journal of Space Structures, 15(3&4), 243–247.

Shen

Z.Y.

Zhou

Gong

(2000). Analysis of the tower-column element and cable element as well as the dynamic properties for cable-stayed reticulated shell structures. Journal of Tongji University, 28(2), 128–133.

Gao

B.Q.

Dong

S.L.

(1996). The analysis of dynamic characteristics for double layer cylindrical lattice shells under vertical earthquake. Spatial Structures (a Chinese journal), 2(3), 16–22.

Gasparini

D.A.

(1979). Response of MDOF systems to nonstationary random excitation. J. Engineering Mechanics, ASCE, 105(EM1), 13–28.

Harichandran

R.S.

Vanmarcke

E.H.

(1986). Stochastic variation of earthquake ground motion in space and time. J. Engineering Mechanics, ASCE, 112(2), 154–175.

Zerva

(1988). Lifeline response to spatially variable ground motions. Earthquake Engineering and Structural Dynamics, 16(3), 361–379.

Der

Kiureghian A.

Neuenhofer

(1992). Response spectrum method for multi-support seismic excitations. Earthquake Engineering and Structural Dynamics, 21, 713–740.

Ernesto

H.Z.

Vanmarcke

E.H.

(1994). Seismic random vibration analysis of multisupport structural systems. J. Engineering Mechanics, ASCE, 120(5), 1107–1128.

Anagnostopoulos

S.A.

(1981). Response spectrum techniques for three-component earthquake design. Earthquake Engineering and Structural Dynamics, 9(4), 456–476.

10.

H. N.

(1998). Theoretical Analysis and Design of Structures to Multiple Earthquake Excitations. Science Press, Beijing, China.

11.

Lopez

O.A.

Chopra

A.K.

Hernandez

J.J.

(2000). Critical response of structures to multicomponent earthquake excitation. Earthquake Engineering and Structural Dynamics, 29, 1759–1778.

12.

Avramidis

I. E.

(2000). Concurrent design forces in buildings under multicomponent earthquake excitation: The CQC-theta-method. In: Advances in Structural Dynamics, Ko

J.M.

Y.L.

(Eds.), Elsevier Science Ltd., 795–800.

13.

Clough

R.W.

Penzien

(1993). Dynamics of Structures. McGraw-Hill, Inc., 2nd ed., New York.

14.

Lin

Williams

F.W.

Zhang

(1993). A new approach to multiphase-excitation stochastic seismic response. Microcomputers in Civil Engineering, 8, 283–290.

15.

Lin

Zhang

Williams

F.W.

(1994). Pseudo-excitation algorithm for nonstationary random seismic responses. Engineering Structures, 16(4), 270–276.

16.

Lin

Zhong

Zhang

(2000). Seismic analysis of long span structures by means of random vibration approach. Journal of Building Structures, 21(1), 29–36.

17.

Xue

S.D.

Cao

Wang

X.S.

(2002). Random vibration study of structures under multi-component seismic excitations. Advances in Structural Engineering, 5(3), 185–192.

18.

Newland

D.E.

(1975). An Introduction to Random Vibration and Spectral Analysis. Longman, London.

19.

Amin

Ang

A.H.S.

(1968). Nonstationary stochastic models of earthquake motions. J. Engineering Mechanics Division, ASCE, 94(EM2), 559–584.

20.

Chen

G.X.

Jin

Y.B.

Zai

J.M.

(1999). A simple method of random earthquake response analysis for high-rise buildings. Journal of Nanjing Architectural and Civil Engineering Institute, No.1 (Sum No.48), 29–37.

21.

Huang

Y.P.

Liu

(1987). The spatial correlation of two horizontal direction earthquake. Journal of Harbin Architectural and Civil Engineering Institute, No.3, 10–14.