Refined Stick Model for Dynamic Analysis of Skew Highway Bridges

Stick models are widely employed in the dynamic analysis of bridges when only approximate results are desired or when detailed models are difficult or time-consuming to construct. Although the use of stick models for regular bridges has been validated by various researchers, the application of such models to skew highway bridges continues to present challenges. The conventional single-beam stick model used to represent the bridge deck often fails to capture certain predominant vibration modes that are important in obtaining the true dynamic response of the bridge. In this paper, a refined stick model is proposed for the preliminary dynamic analysis of skew bridges. The model utilizes a dual-beam stick representation of the bridge deck. The validity of the model is established by comparing results obtained from the proposed model with numerical solutions obtained for skew plates and a skew bridge. It is shown that this dual-beam stick model is superior to the conventional single-beam model in estimating the natural vibration frequencies and in predicting the predominant vibration modes of the bridge. Because of its simplicity and relative accuracy, this model is recommended for the preliminary dynamic analysis of skew highway bridges.

[1]  W. K. Tso,et al.  Seismic analysis of skewed highway bridges with intermediate supports , 1973 .

[2]  R. Cook,et al.  Advanced Mechanics of Materials , 1985 .

[3]  Emilio Rosenblueth,et al.  Fundamentals of earthquake engineering , 1971 .

[4]  Tomisaku Mizusawa,et al.  Analysis of skew plate problems with various constraints , 1980 .

[5]  Snehashish Chakraverty,et al.  Flexural Vibration of Skew Plates Using Boundary Characteristic Orthogonal Polynomials in Two Variables , 1994 .

[6]  Eric M. Lui,et al.  Seismic analysis and assessment of a skew highway bridge , 2000 .

[7]  Tomisaku Mizusawa,et al.  Vibration of skew plates by using B-spline functions , 1979 .

[8]  S. Timoshenko,et al.  Theory of Elasticity (3rd ed.) , 1970 .

[9]  S. Timoshenko,et al.  Theory of elasticity , 1975 .

[10]  Baidar Bakht,et al.  The grillage analogy in bridge analysis , 1982 .

[11]  K. M. Liew,et al.  Application of two-dimensional orthogonal plate function to flexural vibration of skew plates , 1990 .

[12]  Rama B. Bhat,et al.  Flexural vibration of polygonal plates using characteristic orthogonal polynomials in two variables , 1987 .

[13]  David P. Billington,et al.  Analysis of Seismic Failure in Skew RC Bridge , 1991 .

[14]  Emmanuel A. Maragakis,et al.  Analytical models for the rigid body motions of skew bridges , 1987 .

[15]  David B. McCallen,et al.  Dynamic Analyses of a Skewed Short-Span, Box-Girder Overpass , 1994 .

[16]  R. Bhat Plate Deflections Using Orthogonal Polynomials , 1985 .

[17]  T. Mizusawa,et al.  Vibration of continuous skew plates , 1984 .

[18]  Anil K. Chopra,et al.  Dynamics of Structures: Theory and Applications to Earthquake Engineering , 1995 .