Vibrations of spatially suspended flexible pipe-beam with moving fluid

Analysis of a Beam under Moving Loads

Abstract: It is assumed that a beam made of material has a physical nonlinear behavior. This beam is analyzed under the moving concentrated and distributed continuous loads. The vibration equations of motion are derived from the Hamilton's Principle and Euler–Lagrange Equation. In this study, the amplitude of vibration, circular frequency, bending moment, stress and deflection of the beam has b...

Pull-In Instability and Vibrations of a Beam Micro-Gyroscope

Gyroscopes are used as rotation rate sensors. Conventional gyroscopes are heavy and bulky, which creates important problems regarding their usage in different applications. Micro-gyroscopes have solved these problems due to their small size. The beam micro-gyroscope is one of the popular types of inertial sensors. Their small dimensions and low energy consumption are key reasons for their popul...

Intermodal Resonance of In-plane Free Vibrations of Suspended Cables

The weakly nonlinear in-plane free vibrations of a single suspended cable, or a coupled system of suspended cables, may be classified as gravity modes (no tension variations to leading order) and elasto-gravity modes (tension and vertical displacement equally important). The gravity mode (probably the most common type of vibration of relatively inelastic spans) does not exist for particular val...

Drag of a Flexible Fiber in a 2d Moving Viscous Fluid Drag of a Flexible Fiber in a 2d Moving Viscous Fluid * Luoding Zhu †

This paper reports the numerical study of the drag of a flexible elastic fiber immersed in a two-dimensional viscous flow using the immersed boundary (IB) method. We found drag reduction of a flexible fiber compared to a stiff one and the drag coefficient decreases with respect to the dimensionless fiber length within a certain range. The results are a starting point for the understanding of th...

Scanned Ion Beam Therapy of Moving Targets with Beam Tracking