تحلیل خمش غیر‌خطی پانل‌های استوانه ای کامپوزیتی تقویت شده با نانوتیوب های کربنی هدفمند

در اﻳﻦ ﻣﻘﺎﻟﻪ رﻓﺘﺎر ﻏﻴﺮﺧﻄﻲ ﺧﻤﺸﻲ ﭘﺎﻧﻞ اﺳﺘﻮاﻧﻪای ﺗﻘﻮﻳﺖﺷﺪه ﺑﺎ ﻧﺎﻧﻮ ﺗﻴﻮب ﻫﺎی ﻛﺮﺑﻨﻲ ﻫﺪﻓﻤﻨﺪ ﺗﺤﺖ ﺑﺎر ﮔﺴﺘﺮده و ﺗﻐﻴﻴﺮ درﺟﻪ ﺣﺮارت ﻣﻮرد ﻣﻄﺎﻟﻌﻪ ﻗﺮار ﮔﺮﻓﺘﻪاﺳﺖ. ﻣﻌﺎدﻻت ﺣﺎﻛﻢ ﺑﺎ اﺳﺘﻔﺎده از روش اﻧﺮژی رﻳﺘﺰ ﺑﺮ اﺳﺎس رواﺑﻂ ﻛﺮﻧﺶ- ﺗﻐﻴﻴﺮﻣﻜﺎن ﻏﻴﺮﺧﻄﻲ ﻓﻮن ﻛﺎرﻣﻦ اﺳﺘﺨﺮاج ﺷﺪه اﺳﺖ. در اﻳﻦ ﭘﮋوﻫﺶ، ﺑﻪ ﺑﺮرﺳﻲ ﺗﺎﺛﻴﺮات ﻧﺤﻮه ﺗﻮزﻳﻊ، ﻣﻴﺰان درﺻﺪ ﺣﺠﻤﻲ، ﺗﻐﻴﻴﺮات درﺟﻪ ﺣﺮارت و ﻫﻤﭽﻨﻴﻦ ﺷﺮاﻳﻂ ﻣﺮزی ﻣﺨﺘﻠﻒ ﻧﺎﻧﻮ ﺗﻴﻮبﻫﺎ ﺑﺮ ﭘﺎراﻣﺘﺮﻫﺎﻳﻲ از ﻗﺒﻴﻞ ﺗﻐﻴﻴﺮ ﻣﻜﺎن ﻋﺮﺿﻲ و ﻣﻨﺘﺠﻪ ﻣﻤﺎن ﺧﻤﺸﻲ ﻣﺮﻛﺰ ﭘﺎﻧﻞ اﺳﺘﻮاﻧﻪای ﭘﺮداﺧﺘﻪ ﺷﺪه اﺳﺖ. در ﭘﺎﻳﺎن ﻣﻲﺗﻮان ﻧﺘﻴﺠﻪ ﮔﺮﻓﺖ ﺑﻪ ازای ﻳﻚ ﺑﺎرﮔﺬاری ﻣﻌﻴﻦ، ﭘﺎﻧﻞ اﺳﺘﻮاﻧﻪای ﺗﻘﻮﻳﺖ ﺷﺪه ﺑﺎ ﻧﺎﻧﻮ ﺗﻴﻮبﻫﺎی ﻛﺮﺑﻨﻲ ﺑﺎ ﺗﻮزﻳﻊ fg-x دارای ﺑﻴﺸﺘﺮﻳﻦ ﻣﻨﺘﺠﻪ ﻣﻤﺎن ﺧﻤﺸﻲ و ﻛﻤﺘﺮﻳﻦ ﻣﻨﺘﺠﻪ ﻣﻤﺎن ﺧﻤﺸﻲ در ﺗﻮزﻳﻊ fg-ʌﺣﺎﺻﻞ ﻣﻲﺷﻮد.

Nonlinear Bending Analysis of Cylindrical Composite Panels Reinforced by Functionaly Graded Carbon Nanotubes

In this study, for the first time, the nonlinear bending analysis of a deep cylindrical panel reinforced with gradient carbon nanotubes under uniform load and temperature variation has been investigated. Detailed study have been done on the effect of carbon fiber distribution and the volume fraction of carbon nanotubes in bending behavior of cylindrical panels. The variation of transverse displacement component and bending moment distribution, versus uniform loading under different boundary conditions are investigated. First, the governing equations are extracted using nonlinear equations governing the deep cylindrical panel and energy relations. Regarding the complexity of the equations and the impossibility to solve them analytically, numerical methods are used to solve the equations. The bending analysis will be done using the Ritz method which is known as a semianalytic and precise method. Based on this method, the distribution of displacement components is assumed as series functions to satisfy the essential boundary conditions. Then, these functions are placed in the Lagrangian energy equation and the governing relations are obtained by minimizing the energy relation. The most important advantage of this method is that, by satisfying the geometric boundary conditions, the natural boundary conditions governing the panel are automatically met. Finally, it is concluded that the maximum moment of bending is obtained by FGX distribution pattern while the least by FGΛ distribution pattern of the fibers.