“…Beam, plate, and shell structures can be found in various engineering systems [1,2,3,4,5,6,7,8]. As a sub-class of these structures, cantilevers are present in numerous engineering applications ranging from macro [9,10,2] to nano scale, such as micro/nano-electromechanical systems, micro gyroscopes, vibration energy harvesters, and scanning probe microscopy [11,12,13,14,15,16].…”