Chapman–Enskog solution for diffusion: Pidduck’s equation for arbitrary mass ratio

1987 ◽  
Vol 30 (7) ◽  
pp. 2073 ◽  
Author(s):  
R. V. Tompson ◽  
S. K. Loyalka
Keyword(s):  
Mass Ratio ◽  
Arbitrary Mass

Two-particle billiard system with arbitrary mass ratio

1989 ◽  
Vol 9 (1) ◽  
pp. 165-171 ◽  
Author(s):  
Nándor Simányi ◽  
Maciej P. Wojtkowski
Keyword(s):  
Two Dimensional ◽  
Mass Ratio ◽  
Dimensional Torus ◽  
Arbitrary Mass ◽  
Ergodic Properties ◽  
Billiard System

AbstractWe describe ergodic properties of the system of two hard discs with arbitrary masses moving on the two dimensional torus.

Effectiveness of Location and Number of Multiple Tuned Mass Damper for Seismic Structures

2020 ◽  
Vol 9 (6) ◽  
pp. 780-783
Keyword(s):  
Seismic Response ◽  
Software Tool ◽  
Tuned Mass Damper ◽  
Structure Study ◽  
Structural Performance ◽  
Mass Ratio ◽  
Tuned Mass Dampers ◽  
Maximum Reduction ◽  
Mass Damper ◽  
Earthquake Data

Tuned mass dampers (TMD) are one of the most reliable devices to control the vibration of the structure. The optimum mass ratio required for a single tuned mass damper (STMD) is evaluated corresponding to the fundamental natural frequency of the structure. The effect of STMD and Multiple tuned mass dampers (MTMD) on a G+20 storey structure are studied to demonstrate the damper’s effectiveness in seismic application. The location and number of tuned mass dampers are studied to give best structural performance in maximum reduction of seismic response for El Centro earthquake data. The analysis results from SAP 2000 software tool shows damper weighing 2.5% of the total weight of the structure effectively reduce the response of the structure. Study shows that introduction of 4-MTMD at top storey can effectively reduce the response by 10% more in comparison to single tuned mass damper. The use of MTMD of same mass ratio that of STMD is more effective in seismic response.

Sign in / Sign up

Export Citation Format

Share Document