Modal coupling effects in the free vibration of elastically interconnected beams

1987 ◽  
Vol 117 (1) ◽  
pp. 115-130 ◽  
Author(s):  
A. Joshi ◽  
A.R. Upadhya
Keyword(s):  
Free Vibration ◽  
Coupling Effects ◽  
Modal Coupling

Fast Frequency-Domain Algorithm for Estimating the Dynamic Wind-Induced Response of Large-Span Roofs Based on Cauchy’s Residue Theorem

2018 ◽  
Vol 18 (03) ◽  
pp. 1850037 ◽  
Author(s):  
Ning Su ◽  
Zhenggang Cao ◽  
Yue Wu
Keyword(s):  
Frequency Domain ◽  
Time Domain ◽  
Rational Functions ◽  
Induced Response ◽  
Response Analysis ◽  
Residue Theorem ◽  
Coupling Effects ◽  
Large Span ◽  
Modal Coupling ◽  
Cauchy’S Residue Theorem

Wind-induced response analysis is an important process in the design of large-span roofs. Conventional time-domain methods are computationally more expensive than frequency-domain algorithms; however, the latter are not as accurate because of the ill-treatment of the modal coupling effects. This paper revisited the derivations of the frequency-domain algorithm and proposed a fast algorithm for estimating the dynamic wind-induced response considering duly the modal coupling effects. With the wind load cross-spectra modeled by rational functions, closed-form solutions to the frequency-domain integrals can be calculated by Cauchy’s residue theorem, rather than by numerical integration, thereby reducing the truncation errors and enhancing the efficiency of computation. The algorithm is applied to the analysis of a grandstand roof and a spherical dome. Through comparison with time domain analyses results, the algorithm is proved to be reliable. A criterion of the coupling modal combination was suggested based on the cumulative modal contribution rate of over 70%.

The Effect of Thermal Prestress on the Free Vibration Characteristics of Clamped Rectangular Plates: Theory and Experiment

1997 ◽  
Vol 119 (2) ◽  
pp. 243-249 ◽  
Author(s):  
K. D. Murphy ◽  
L. N. Virgin ◽  
S. A. Rizzi
Keyword(s):  
Free Vibration ◽  
Experimental Approach ◽  
Natural Frequencies ◽  
Vibration Characteristics ◽  
Rectangular Plates ◽  
Modal Coupling ◽  
Out Of Plane ◽  
Post Buckling ◽  
Initial Geometric Imperfections ◽  
Theory And Experiment

In a combined theoretical and experimental approach, the free vibration characteristics of a uniformly heated, fully clamped (out-of-plane), rectangular plate are considered. Specifically, this work focuses on the behavior of the small amplitude natural frequencies as the temperature is increased from the ambient. The effects of initial geometric imperfections, modal coupling, imperfect clamping (in-plane) and post-buckling are addressed. Comparisons between theory and experiment show excellent agreement.

Scattering and coupling effects of electromagnetic waves in 3D networks of spheres

1998 ◽  
Vol 1 (1) ◽  
pp. 45-52 ◽  
Author(s):  
M. Defos du Rau ◽  
F. Pessan ◽  
G. Ruffie ◽  
V. Vignéras-Lefebvre ◽  
J. P. Parneix
Keyword(s):  
Electromagnetic Waves ◽  
Coupling Effects ◽  
3D Networks
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