基于能量法求解传统木构架民居基本周期

ANALYTICAL DETERMINATION OF FUNDAMENTAL PERIOD FOR TRADITIONAL TIMBER-FRAMED DWELLINGS USING THE ENERGY METHOD

  • 摘要: 传统木构架民居的梁柱连接方式为榫卯连接,由于榫卯节点呈现出半刚性特点,且围护墙与木构架一起参与振动,导致其基本周期的解析计算变得复杂。本文通过建立木构架–围护墙分析模型,基于榫卯节点的弯矩–转角简化力学模型和能量法基本原理,推导了单层木构架民居基本周期的解析表达式,并进行了算例验证,解析计算结果与振动台试验结果一致。木构架民居基本周期的求解可作为结构力学课程基本内容的拓展,加强学生对相关知识点的理解和掌握,引导学生在与课程内容相关的科研训练中进一步探索。

     

    Abstract: The beam-column connections in traditional timber-framed dwellings employ mortise-and-tenon joints, which exhibit semi-rigid characteristics. Additionally, since the envelope wall vibrate in conjunction with the timber frame, the analytical calculation of its fundamental period becomes complex. In this study, an analytical model of the timber frame - envelope wall system is constructed. Based on a simplified moment - rotation mechanical model for mortise - tenon joints and the fundamental principles of the energy method, an analytical expression for the fundamental period of single - story timber - framed dwellings is deduced. Subsequently, verification is conducted by citing the results of shake table tests, and the results from analytical calculations align well with those obtained from shake table tests. The determination of the fundamental period of timber - framed dwellings can serve as an extension of the basic content in structural mechanics courses. It enhances students' comprehension and mastery of relevant knowledge points and guides them to conduct further exploration in scientific research training related to the course content.

     

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