scholarly journals AN APPROXIMATE ANALYSIS METHOD OF BUILDINGS FOR THREE-DIMENSIONAL VIBRATIONS

2000 ◽  
Vol 65 (530) ◽  
pp. 63-69 ◽  
Author(s):  
Masahiro CHIBA ◽  
Mitsuharu KURATA ◽  
Kouji KURODA ◽  
Kazushige ASARI
Keyword(s):  
Three Dimensional ◽  
Approximate Analysis ◽  
Analysis Method

scholarly journals High-order compact LOD methods for solving high-dimensional advection equations

2021 ◽  
Vol 40 (3) ◽  
Author(s):  
Bo Hou ◽  
Yongbin Ge
Keyword(s):  
Truncation Error ◽  
Three Dimensional ◽  
Taylor Series Expansion ◽  
High Order ◽  
High Dimensional ◽  
Analysis Method ◽  
Order Accuracy ◽  
Von Neumann ◽  
One Dimensional ◽  
Von Neumann Analysis

AbstractIn this paper, by using the local one-dimensional (LOD) method, Taylor series expansion and correction for the third derivatives in the truncation error remainder, two high-order compact LOD schemes are established for solving the two- and three- dimensional advection equations, respectively. They have the fourth-order accuracy in both time and space. By the von Neumann analysis method, it shows that the two schemes are unconditionally stable. Besides, the consistency and convergence of them are also proved. Finally, numerical experiments are given to confirm the accuracy and efficiency of the present schemes.

scholarly journals Residual Strength Analysis Method for Composite Laminates with Internal Defects Using a Quasi-Three-Dimensional Model.

1993 ◽  
Vol 59 (563) ◽  
pp. 1697-1701 ◽  
Author(s):  
Tsuyoshi Nishiwaki ◽  
Atsushi Yokoyama ◽  
Zen'ichiro Maekwa ◽  
Hiroyuki Hamada ◽  
Yoshinori Maekawa ◽  
...  
Keyword(s):  
Residual Strength ◽  
Composite Laminates ◽  
Three Dimensional ◽  
Strength Analysis ◽  
Analysis Method ◽  
Dimensional Model ◽  
Three Dimensional Model ◽  
Internal Defects

Brake Squeal Analysis by Finite Elements and Comparisons to Dyno Results

1999 ◽  
Author(s):  
W. V. Nack
Keyword(s):  
Friction Coefficient ◽  
Finite Elements ◽  
Stiffness Matrix ◽  
Approximate Analysis ◽  
Stability Evaluation ◽  
Analysis Method ◽  
Brake Squeal ◽  
Complex Modes ◽  
Baseline Solution ◽  
Test Schedule

Abstract An approximate analysis method for brake squeal is presented. Using MSC/NASTRAN a geometric nonlinear solution is run using a friction stiffness matrix to model the contact between the pad and rotor. The friction coefficient can be pressure dependent. Next, linearized complex modes are found where the interface is set in a slip condition. Since the entire interface is set sliding, it produces the maximum friction work possible during the vibration. It is a conservative measure for stability evaluation. An averaged friction coefficient is measured and used during squeal. Dynamically unstable modes are found during squeal. They are due to friction coupling of neighboring modes. When these modes are decoupled, they are stabilized and squeal is eliminated. Good correlation with experimental results is shown. It will be shown that the complex modes baseline solution is insensitive to the type of variations in pressure and velocity that occur in a test schedule. This is due to the conservative nature of the approximation. Convective mass effects have not been included.

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