“…A large number of contributions have been published on size-dependent structural behaviour of rods, wires, beams, membranes, plates and shells at micro-and nano-scales to conceive modern small-scale systems, such as: varactors (Sedighi et al, 2017), energy harvesters (Lekha et al, 2017), piezoelectric devices for biomedicine applications (Salim et al, 2018), resonators (Chorsi and Chorsi, 2018), resonant accelerometers (Ding et al, 2019), biosensors for detection of malaria protozoan parasites and of cancer , arch actuators (Ouakad and Sedighi, 2019). In this context, curved beams are the main structural elements of Micro/Nano-Electro-Mechanical-Systems (M/NEMS) resonators (Dantas and Gusso, 2018;Alfosail et al, 2019;Frangi and Gobat, 2019;Nikpourian et al, 2019;Ouakad and Najar, 2019;Sieberer et al, 2019;Wang and Ren, 2019) that should be designed by significantly taking small size effects into account.…”