تعیین بسامد ساختمان های بلند هرمی با سیستم لوله در لوله و لوله دسته‌بندی‌شده به روش تحلیلی

نوع مقاله : یادداشت پژوهشی

نویسندگان

1 گروه مهندسی عمران، واحد پارس آباد مغان، دانشگاه آزاد اسلامی، پارس آباد

2 گروه مهندسی عمران، دانشکده فنی و مهندسی، دانشگاه محقق اردبیلی

3 گروه مهندسی عمران دانشکده فنی و مهندسی دانشگاه محقق اردبیلی

چکیده

سیستم لوله ­ای یکی از سیستم ­های سازه ­ای مناسب برای برج ­ها و ساختمان­ هایی با ارتفاع بالاست که خود دارای انواع مختلفی می باشد. هدف از این مطالعه به­ دست آوردن یکی از ویژگی­ های مهم دینامیکی یعنی بسامد طبیعی (ω) برای تعدادی از ساختمان­ های بلند با سیستم لوله­ ای، لوله­ ای هرمی است که یک روش تقریبی بوده و فرمول ­های مربوطه جدید با استفاده از روش پیشنهادی و معادله ­های دیفرانسیل محاسبه بسامد طبیعی ساختمان­ های بلند هرمی با سیستم لوله در لوله و لوله دسته‌بندی‌شده و سازه لوله ­ای هرمی انجام می­ شود. به این منظور، تعداد 12 مدل با 2 سیستم سازه­ ای لوله در لوله و لوله دسته‌بندی‌شده و با 3 زاویه هرمی صفر، 23/1 و 45/2 درجه (انحراف از امتداد قایم) موردبررسی قرار گرفته و مدل­ ها به دو صورت عددی و روش تحلیلی مورد تجزیه‌وتحلیل قرار گرفته شدند. نتایج این مطالعه حاکی از آن است که با استفاده از روش تحلیلی معادلات دیفرانسیل بسامد طبیعی، به‌درستی محاسبه می­ شود و انطباق خوبی با نتایج عددی دارد، سازگاری بهتری با سازه ­های بدون زاویه هرمی و با ارتفاع بیشتر دارد و مقدار خطای محاسباتی حاصله بسیار کم می ­باشد. همچنین در این روش تحلیلی، کم­ترین خطا برای سیستم ­های لوله­ ای دسته‌بندی‌شده و بیشترین خطا برای سیستم لوله در لوله به­ دست آورده شد.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Determining the Frequency of Pyramidal Buildings with Tube-In-Tube and Bundled Tube Structures by Analytical Method

نویسندگان [English]

  • Mohammad Babaei 1
  • Yaghoub Mohammadi 2
  • Amin Ghannadiasl 3
1 Department of Civil Engineering, Pars Abad Moghan Branch, Islamic Azad University, Pars Abad, Iran
2 Faculty of Engineering, University of Mohaghegh Ardabili, Ardabil, Iran
3 Faculty of Engineering, University of Mohaghegh Ardabili, Ardabil, Iran
چکیده [English]

The research on tall buildings has been increased due to the demands of suitable spaces. The use of pyramidal architecture in tall structures has several benefits including the ability to lighten the adjacent buildings and prevention from the closure of the view in urban spaces. However, the seismic behavior of pyramidal tube structures requires a closer examination of their design and probable behavior under lateral loads. One of the most important parameters in the pyramidal tapered buildings is the calculation of natural frequency of the vibrating structures (ω). In this study we have proposed new equations and methods for the mentioned calculations which has been compared with software calculations. Many researchers have calculated the free vibration of structures using different methods. One formula to obtain the natural frequency of tube structures is obtained from the fourth-order differential equation (Wang, 1996). An approximate solution in order to analyze the free vibration of tall tube-in-tube buildings have been proposed by different researchers (Lee, 2007; Lee and Bang, 2008; Lee and Tovar, 2014). The modeling of tall building using a beam with varying stiffness and mass subject to the variable axial force caused by simple weight was presented by Mohammadnejad (2015). Free vibration analysis using differential equation has been evaluated by Bozdogan (2009) and Bozdogan (2013). The first natural frequency of tall buildings with a system combined of framed tube, shear core, and belt truss has been calculated under axial force (Kamgar and Rahgozar, 2014; 2015; 2018). A new and simple method of determining the natural frequency of tube structures with tube-in-tube wall has been presented. The novelty of this method refers to the mathematical computation process which is much simpler and shorter. The effect of structure’s weight on the natural frequency of structure has been considered by variable axial force. Tall building is modeled by a beam with variable stiffness and mass along the height of the building. Therefore, the partial differential equation with variable coefficients is used which have been presented by Mohammadnejad and Haji-Kazemi (2018). Furthermore, there is no regular research on the vibrational frequency calculation of pyramidal tube systems, especially by mathematical methods, or a small number of studies have been done most of which have been done on 90-degree structures with tube systems.

کلیدواژه‌ها [English]

  • Natural frequency
  • Variable flexural stiffness
  • Pyramid tube building
  • Pyramidal beam

مراجع

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نشریه مهندسی عمران و محیط زیست دانشگاه تبریز
دوره 53.2، شماره 111 - شماره پیاپی 111
تابستان 1402
شهریور 1402
صفحه 201-217

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