ON OPTIMAL SELECTION OF INTERIOR POINTS FOR APPLYING DISCRETIZED BOUNDARY CONDITIONS IN DQ VIBRATION ANALYSIS OF BEAMS AND PLATES

1999 ◽  
Vol 222 (2) ◽  
pp. 239-257 ◽  
Author(s):  
C. Shu ◽  
W. Chen
1980 ◽  
Vol 102 (2) ◽  
pp. 412-416 ◽  
Author(s):  
B. Downs

A method is described which permits the reduction of stiffness and mass matrices on to selected degrees of freedom, while accurately retaining, up to a certain cut-off frequency, the dynamic characteristics of the original matrices. The validity of the method is demonstrated by obtaining identical results, for the reduction of a simple system, with those derived from a rigorous solution. An interpolation equation is also developed which allows the eigenvector components on the eliminated degrees of freedom to be determined accurately from the ‘master’ components. Some guidelines are provided for the optimal selection of the ‘master’ degrees of freedom and a procedure defined for progressively improving the initial selection, prior to undertaking the eigenvalue analysis.


Wood Research ◽  
2021 ◽  
Vol 66 (6) ◽  
pp. 943-954
Author(s):  
KLARA FREUDENBERGER ◽  
JAROSLAV SANDANUS

This paper compares two concepts of composite timber concrete ceilings and their uncoupled alternatives based on a parametric study by comparing the final deflections of individual variants and at the same time considering according to the ultimate limit state. It includes a comparison of coupled and uncoupled variants while maintaining the same boundary conditions as the load, the thickness of the ceiling structure and the load width. By considering other factors, we can achieve more optimal variant, thanks to more accurate consideration of the required boundary conditions such as the complexity of installation or fire resistance. The purpose of this paper is to simplify the optimal selection of the ceiling structure based on the suitability of the supporting structure.


2012 ◽  
Vol 45 (4) ◽  
pp. 41 ◽  
Author(s):  
M. K. Saha ◽  
Santanu Das ◽  
A. Bandyopadhyay ◽  
S. Bandyopadhyay

2012 ◽  
Vol 45 (4) ◽  
pp. 41
Author(s):  
M. K. Saha ◽  
Santanu Das ◽  
A. Bandyopadhyay ◽  
S. Bandyopadhyay

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