NDLI: Recursive solution for dynamic response of one-dimensional structures with time-dependent boundary conditions

Content Provider	Springer Nature Link
Author	Abadi, Mohammad Tahaye
Copyright Year	2015
Abstract	A recursive solution method is derived for the transient response of one-dimensional structures subjected to the general form of time-dependent boundary conditions. Unlike previous solution methods that assumed the separation of variables, the present method involves formulating and solving the dynamic problems using the summation of two single-argument functions satisfying the motion equation. Based on boundary and initial conditions, a recursive procedure is derived to determine the single-argument functions. Such a procedure is applied to the general form of boundary conditions, and an analytical solution is derived by solving the recursive equation. The present solution method is implemented for base excitation problems, and the results are compared with those of the previous analytical solution and the Finite element (FE) analysis. The FE results converge to the present analytical solution, although considerable error is found in predicting a solution method on the basis of the separation of variables. The present analytical solution predicts the transient response for wave propagation problems in broadband excitation frequencies.
Starting Page	4105
Ending Page	4111
Page Count	7
File Format	PDF
ISSN	1738494X
Journal	Journal of Mechanical Science and Technology
Volume Number	29
Issue Number	10
e-ISSN	19763824
Language	English
Publisher	Korean Society of Mechanical Engineers
Publisher Date	2015-10-15
Publisher Place	Seoul
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Analytical solution Axial vibration Recursive Wave propagation Mechanical Engineering Vibration, Dynamical Systems, Control Industrial and Production Engineering
Content Type	Text
Resource Type	Article
Subject	Mechanics of Materials Mechanical Engineering

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