Finite Amplitude Waves of an Elastic Plate Covering the Surface of a Fluid Layer
スポンサーリンク
概要
- 論文の詳細を見る
A free surface of an incompressible ideal fluid of finite depth is covered with a thin elastic plate subject to an in-plane force due to the transverse displacement. It is found from the relation between the wave number and the frequency for linear waves that the rigidity and the tensile in-plane force of the plate make the wave profile capillary-like, and the compressive in-plane force makes the wave profile gravity-like. An approximate solution using the method of multiple time scales is sought for a wave with small but finite amplitude. In case of rubber plates the phase speed of non-linear waves increases with an increasing amplitude. It is known from the third order expansion that there are two different waves and three different resonance states.
- 一般社団法人日本機械学会の論文
著者
関連論文
- The Prevention of Wave Motions in a Liquid Layer under a Vertical Periodic Motion Due to a Superposed Thin Viscous Liquid Layer
- On the Trajectories of a Small Particle Passing Through a Narrow Curved Channel
- Motion of Small Particles In a Viscous Flow Past Many Square Cylinders
- On the Collision Between Small Particles and a Plane Wall in a Jet
- Motion of Small Particles due to a Pulsatile Flow in a Chamber
- Movement of Small Particles Caused by an Air Flow in a Chamber
- Heat Generation in a Viscous Flow Between a Horizontally and Vertically Oscillating Plane and a Fixed Plane
- Lateral Vibration of a Flexible Pipe Conveying Fluid with Pulsating Flow
- Buckling and Postbuckling Behavior of a Flexible Pipe Conveying Fluid
- Instability of a System of Two Different Viscous Fluids being Separated by an Elastic Plate
- Squeeze Films between a Rotating Curved Disk and a Plane Wall
- Influence of the Buoyancy Force on the Flow of a Particle-Fluid Mixture Induced by an Oscillating Flat Plate
- Particle Collision on the Wall in a Stagnation Flow
- Effect of the Wind Fluctuation on the Stability of a Liquid Layer Flowing down an Inclined Plane
- Stability of a Liguid Layer down the Surface of a Vertical Rotating Cylinder
- Particle Collision with a wall in an Oblique Stagnation Flow under the Action of Gravity
- Critical Condition for Collision of Suspended Small Particles with a Body in a Viscous Fluid
- Leakage of a Fluid through a Narrow Channel with a Wavy Wall
- Flow in a Viscous Fluid Caused by a Velocity Distribution Given on a Plane Boundary
- Motion of a Viscous Liquid Layer Covered by a Thin Plate Subject to Gas Stream
- Flow Induced by an Oscillating Plate in a Particle-fluid Mixture
- Finite Amplitude Waves of an Elastic Plate Covering the Surface of a Fluid Layer
- The Influence of Heating and Cooling on the Stability of a Liquid Layer
- Viscous Flow Induced in a Half Space by Two Sources with Different Strengths on a Wall
- Waves on the Interface of Two-Liquid Layers in a Vertical Periodic Motion
- The Stability of Flows of Two Different Fluids which are Separated by a Thin Elastic Plate
- Nonlinear Stability of a Thin Liquid Layer Flowing Down an Oscillating Plane
- An Oil Sheet on the Wall Rising to a Heavy Fluid under Gravity
- Decrease of the Critical Rayleigh Number by a Temperature Fluctuation
- The Critical Condition for the Onset of Waves on the Free Surface of a Horizontal Liquid Layer under a Vertical Oscillation
- On Steady Flow Through a Channel Consisting of an Uneven and a Plane Wall : Part 2, Case of Walls with a Relative Velocity
- Stability of a Liquid Layer down the Suface of a Vertical Cylinder
- Instability of Flow of Two Horizontal Fluid Layers Due to Interfacial WAves
- Finite Amplitude Waves on an Elastic Plate Horizontally Separating Two Different Fluid Streams
- Equilibrium Vortex Motion in Circular Couette Flow
- Two Vortices Interaction between Concentric Rotating Cylinders
- On Squeeze Film of a Curved Circular Plate
- Heat Flux Across Viscous Flow in Wavy Channels