جستجوی مقالات مرتبط با کلیدواژه « اثرات سطحی » در نشریات گروه « مکانیک »

This paper analyzes the size-dependent vibration of nanoscale beams with simultaneously longitudinal and rotational motions based on nonlocal theory for the optimum design of nanoscale surgical robots. Also, for the first time, a parametric study is performed to explain the surface effects, viscoelastic-Pasternak foundations characteristics, thermal loads, geometric properties, symmetric and asymmetric cross-sections, axial and follower loads on the dynamics and stability of the system. Adopting the Galerkin discretization approach, the reduced-order dynamic model of the system is acquired. Also, analytical and numerical methods are exploited. To ensure the accuracy of the proposed model and method, the present study results are compared and validated with those of published articles. Stability maps and Campbell diagrams are drawn for different working conditions. The results showed that increasing the surface elastic modulus and residual stress improves the vibration frequencies and dynamic instability threshold. It is also found that with increasing system thickness/length, the axial velocity of static instability decreases/increases. In addition, it is observed that the system performance improves with increasing the elastic and shear coefficients of the foundation. The results of the present study significantly help designers and engineers control the vibration of bi-gyroscopic nanoscale robots.

In this study, surface effects on the free torsional vibration of nanobeams are investigated. To this end, equations of motion of nanobeams incorporating the surface effects are derived using the Hamilton’s principle and based on the surface elasticity theory. Then, equations of motion are analytically solved for three types of boundary conditions: clamped-clamped, clamped-free, and free-free, and associated mode shapes and natural frequencies are obtained. Nanobeams made of aluminum and silicon are selected as case studies. A detailed study is performed to examine the surface effects on the free torsional vibration of nanobeams for various nanobeam lengths, nanobeam radii, and mode numbers. In addition, influences of each of the surface parameters on torsional natural frequencies are separately investigated. The results show that influences of the surface effects on the free torsional vibration of nanobeams are completely different from those on the free transverse vibration of nanobeams. Results of the present study can be useful in design of nano-electro-mechanical systems like nano-bearings and rotary servomotors.

In this article, an analytical method is used to study surface and geometrical defect effects on free vibrations behavior of circular nanoplates. Due to production process and constrains conditions, nanoplates may be opposed to structural defect. Some of the defects can be modelled as an eccentric hole. Gurtin-Murdoch and thin plate theories are employed to model the eccentric circular nanoplate. In order to solve equation of motion, separation of variables method as well as additional theorem for the regular and modified of first and second kinds of Bessel functions are used. To validate the approach, present results are compared to those obtained by literature. Both of symmetric and antisymmetric vibration modes are analyzed. Some mode shapes are illustrated to make the better physical sense. Finally, effects of various geometrical and material properties on natural frequencies of the nanoplates are investigated. Also, effects of various boundary conditions as free, clamped and simply supported on the natural frequencies are investigated using a wide range of results. Results show that surface effects and eccentric circular defect play an important role in vibrational behavior of an eccentric circular nanoplate. It is observed that the free boundary condition has no more effect on the fundamental natural frequency.