Transfer matrix analysis of non-linear free vibrations of circular plates with variable thickness

1984 ◽  
Vol 97 (4) ◽  
pp. 587-595 ◽  
Author(s):  
H. Sato ◽  
C. Shimizu
Keyword(s):  
Transfer Matrix ◽  
Variable Thickness ◽  
Free Vibrations ◽  
Matrix Analysis ◽  
Circular Plates ◽  
Non Linear ◽  
Transfer Matrix Analysis

Analysis of skewed multibeam bridges by the transfer matrix method

1985 ◽  
Vol 12 (1) ◽  
pp. 24-35
Author(s):  
I. G. Buckle ◽  
Weng-Onn Lee
Keyword(s):  
Transfer Matrix ◽  
Single Point ◽  
Cross Coupling ◽  
Highway Bridges ◽  
Matrix Analysis ◽  
Matrix Solution ◽  
Transfer Matrix Analysis ◽  
Support Conditions ◽  
Skew Angles ◽  
Span Width

The analysis of multibeam bridge decks is seriously complicated by the effect of skew. Conventional methods invoke grillage solutions, which have inherent difficulties. This paper proposes an extension of the transfer matrix solution for right decks to include the effects of skew without detracting from the simplicity of the method. Both the flexural and torsional flexibility coefficients need to be modified for the skew support conditions and a new flexure–torsion coefficient is introduced to represent the cross-coupling that occurs between these flexibilities because of skew. The assumption of load transference through a single-point hinge between adjacent beams is retained, but the spanwise location of this point is varied from beam to beam according to the degree of skew. Results are presented for a range of skew angles and span/width ratios and compared with those from a modified grillage solution; excellent agreement was demonstrated up to and including 45° skew. Key words: highway bridges, skew, transfer matrix analysis, grillage modelling, multibeam decks, single span, comparative solutions.

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