Analysis of surface mechanical properties effects on the dynamic characteristics of a circular micro-diaphragm with a distributed mass

Quality factor of circular microdiaphragm with surface effects in contact with liquids

“…By introducing surface continuum elasticity, the surface effects of the circular microdiaphragm are taken into account [25, 26]. Then, considering the distributed mass, the governing equation is that developed by Zhou et al [29]. Based on the results of Zhou et al, the motion equation of a circular microdiaphragm without considering surface mass can be written as…”

“…The Laplace operator ∇ 2 and biharmonic operator ∇ 4 are given by polar co-ordinates with respect to r and θ . As the two surfaces have the same surface properties, the effective flexural rigidity D * [29] can be expressed as…”

“…Sahmani and Bahrami [28] studied the free vibration characteristics of circular nanoplates subjected to hydrostatic and electrostatic forces. Subsequently, Zhou et al [29, 30] developed a theoretical model to investigate the vibrational characteristics of diaphragms with a uniformly distributed mass based on this theory and Kirchhoff’s plate theory. Based on this theory and the higher-order shear deformation plate theory, Gholami and Ansari [31] investigated the influences of initial imperfection, thickness, surface residual stress, and temperature rise on the vibration response of nanoplates in thermal environments.…”

Effects of flexoelectricity and strain gradient on bending vibration characteristics of piezoelectric semiconductor nanowires

“…Dynamic analyses of PSC beams and plates were carried out. [43][44][45] Here, it is worth noting that, in these studies, the strain gradient and the flexoelectric effect were ignored. As mentioned above, however, both the strain gradient and flexoelectric effect in micro-or nanoscales are significant and they significantly affect the dynamic characteristics of PSCs.…”