Investigation into Central-Difference and Newmark’s Beta Methods in Measuring Dynamic Responses

Behzad Mohammadzadeh; Hyuk Chun Noh

doi:10.4028/www.scientific.net/AMR.831.95

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 831Investigation into Central-Difference and...

Investigation into Central-Difference and Newmark’s Beta Methods in Measuring Dynamic Responses

Abstract:

Studies in the structural systems include two main approaches, design and analysis, which require response evaluation of structures to the external loads including live and dead loads. Structures behave statically and dynamically for static and dynamic loads, respectively. One of the most important dynamic loads acting on a structure is earthquake force. In order to find responses of structures subjected to earthquake, several schemes of direct integration can be used. This study deals with two methods of calculating dynamic responses of a single-degree of freedom oscillator, i.e., central difference method (CDM) and Newmarks beta method (NBM), using recorded ground acceleration for 60seconds. The maximum relative acceleration is obtained to determine maximum relative displacement by which estimation of quality and quantity of failure occurred to a structure for a given earthquake is provided. Firstly both CDM and NBM are discussed. Second, for a specific damping ratio dynamic responses are evaluated for periods of range in between 0.1sec to 1.5sec to evaluate the effects of period on responses of system. Third, the effects of damping on dynamic responses of SDOF system are evaluated by considering different damping coefficients from ζ=0 to 0.5. The results are compared and discussed to investigate the range of periods and damping factors where methods can provide a better estimation of responses.

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Periodical:

Advanced Materials Research (Volume 831)

Pages:

95-99

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.831.95

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Online since:

December 2013

Authors:

Behzad Mohammadzadeh, Hyuk Chun Noh*

Keywords:

Central Differential Method, Damping, Dynamic Analysis, Newmark’s Beta Method

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