“…Membranes have a wide range of applications in engineering, technology and other fields, such as space engineering [ 1 ], wastewater treatment [ 2 ], bionic structure of tympanic membranes [ 3 ] and so on. Many membranes have the ability to exhibit large elastic deflections under transverse loading [ 4 , 5 , 6 , 7 , 8 , 9 , 10 ], which provides the possibility of designing and developing deflection-based devices [ 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 ].…”