The resonant frequency and sensitivity of an atomic force microscope (AFM) cantilever with assembled cantilever probe (ACP) have been analyzed and a closed-form expression for the sensitivity of vibration modes has been obtained. The proposed ACP comprises an inclined cantilever and extension, and a tip located at the free end of the extension, which makes the AFM capable of topography at sidew...

We consider a three layer Rao-Nakra sandwich beam with damping proportional to shear included in the core layer. We prove that eigenvectors of the beam form a Riesz basis for the natural energy space. In the damped case, we are able to give precise conditions under which solutions decay at a uniform exponential rate. We also consider the problem of boundary control using bending moment and late...

In this paper, a nonlinear axially moving string with the Kelvin-Voigt damping is considered. It is proved that the string is stable, i.e., its transversal displacement converges to zero when the axial speed of the string is less than a certain critical value. The proof is established by showing that a Lyapunov function corresponding to the string decays to zero exponentially. It is also shown ...

We consider systems of ODEs that describe the dynamics of particles. Each particle satisfies a Newton law (including a damping term and an acceleration term) where the force is created by the interactions with other particles and with a periodic potential. The presence of a damping term allows the system to be monotone. Our study takes into account the fact that the particles can be different. ...

A new proposal for Cartan contortion detection based on the resonant gravitational wave (GW) detector in teleparallel spacetime is considered.It is shown that Cartan contortion is proportional to the inverse of the damping time of the resonant detector.Actually the contortion acts as a damping force for the GW.A contortion of the order 10 −29 s −1 is obtained by using the data of present resona...

Structure-borne noise is an important aspect of offshore platform sound field. It can be generated either directly by vibrating machineries induced mechanical force, indirectly by the excitation of structure or excitation by incident airborne noise. Therefore, limiting of the transmission of vibration energy throughout the offshore platform is the key to control the structureborne noise. This i...

Fluidelastic instability of a single flexible cylinder subject to fluid cross flow has been investigated in arrays of rigid tubes arranged in a normal triangular configuration with pitch ratios of and . The test facility designed and built for this purpose has two novel features: (i) the flexible tube is supported by a linear structure which allows only pure translation of the tube in a directi...