Journal of Structural and Construction Engineering (Transactions of AIJ)
Online ISSN : 1881-8153
Print ISSN : 1340-4202
ISSN-L : 1340-4202
ACCURACY OF TIME CHANGING IN DIRECTION OF VELOCITY IN VIBRATION SYSTEM WITH SLIDING FRICTION
Study on vibration analysis method of sliding friction type (Part 2)
Ayumi TAKAHASHITakasuke SAKAIKouichi SHIBATA
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2014 Volume 79 Issue 700 Pages 697-700

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Abstract
It is very important in numerical computation to know the time of change in velocity direction as accurately as possible, when vibration systems with sliding friction are analyzed by using numerical computations. Takahashi et al., (2012) introduced a new analytical logic that could estimate the time changing the velocity direction within the constant time step (Δt) by using the Linear Accelerated Method. Here, on the basis of linear single-mass systems with sliding friction and without external force, the accuracy of estimated time is evaluated by comparing with the theoretically obtained time that gives the change of velocity direction. The absolute differences between the estimated time and the theoretical one depend upon the size of time step Δt. It can be shown that the absolute difference for Δt=0.01 sec is smaller than 0.0001 sec. This fact means that the computing accuracy obtained by the new logic using Δt=0.01 sec is almost equal to the one obtained by other logic using Δt=0.0001 sec.
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© 2014 Architectural Institute of Japan
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