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Investigation into Central-Difference and Newmark's Beta Methods In Measuring Dynamic Responses

机译:调查中央差异和纽马克的曲折测量动态响应的方法

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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 Newmark's beta method(NBM), using recorded ground acceleration for 60 seconds. 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.
机译:结构系统中的研究包括两个主要方法,设计和分析,需要对包括Live和Dead负载的外部负载的响应评估。结构分别为静态和动态负载行为静态和动态。作用于结构的最重要的动态载荷之一是地震力。为了找到受地震的结构的响应,可以使用几种直接集成的方案。本研究涉及计算单程自由振荡器的动态响应的方法,即中心差异方法(CDM)和Newmark的Beta方法(NBM),使用记录的地面加速度为60秒。获得最大相对加速度以确定提供最大相对位移,通过该相对位移,提供给定地震的结构的质量和失效量的估计。首先讨论了CDM和NBM。其次,对于特定的阻尼比,在0.1秒至1.5分中的范围内评估动力响应,以评估系统对系统响应的影响。第三,通过将不同的阻尼系数从ψ= 0升至0.5考虑不同的阻尼系数,评估阻尼对SDOF系统动态响应的影响。比较和讨论结果,以研究方法可以提供更好地估计反应的时期和阻尼因子的范围。

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