✦ LIBER ✦

REFLECTION OF FLEXURAL WAVES IN GEOMETRICALLY PERIODIC BEAMS

✍ Scribed by M.A. Hawwa

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 380 KB
Volume: 199
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1996.0608

No coin nor oath required. For personal study only.

✦ Synopsis

The paper focuses on the reflection characteristics of elastic beams having a periodically varying cross-sectional area. Assuming a weak sinusoidal variation of the beam cross-section along its axis, perturbation methods are employed to determine flexural resonance conditions and analyze the resonant destructive interaction of flexural waves with the periodic beam. This interaction is represented in the form of coupled-wave equations, which are solved analytically, together with relevant boundary conditions, at the ends of the periodic section of the beam. The reflection coefficient is then calculated for beams having different types of periodicity. This study is intended to provide guidelines to control passively the flexural vibration in beams.

📜 SIMILAR VOLUMES

THE EFFECT OF PERIOD ASYMMETRY ON WAVE P

THE EFFECT OF PERIOD ASYMMETRY ON WAVE PROPAGATION IN PERIODIC BEAMS

✍ N.S. Bardell; R.S. Langley; J.M. Dunsdon; T. Klein 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 291 KB

The h-p version of the finite element method is used to study flexural wave motion in a periodic beam with identical, but non-symmetric, periods. The convergence behaviour of the h-p method is benchmark validated against an exact analysis provided by the dynamic stiffness method in obtaining solutio

FEEDFORWARD ADAPTIVE CONTROL OF FLEXURAL

FEEDFORWARD ADAPTIVE CONTROL OF FLEXURAL VIBRATION IN A BEAM USING WAVE AMPLITUDES

✍ C.R. HALKYARD; B.R. MACE 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 449 KB

This paper concerns the real-time estimation of wave amplitudes and their subsequent use as a cost function in adaptive active control of bending vibrations in a beam. The amplitude of the wave propagating downstream from the control location is estimated by "ltering the outputs of an array of senso

Amplification of Flexural Waves in Gun T

Amplification of Flexural Waves in Gun Tubes

✍ T.E. Simkins 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 276 KB

The Herrmann-Mirsky equations for axially symmetric motions of a thick walled cylinder are used to calculate the dynamic response of a gun tube to a ballistic pressure moving at a velocity very close to the lowest critical velocity. A comparison with strains measured during actual firings shows good

ANALYSIS OF ELASTIC FLEXURAL WAVES IN NO

ANALYSIS OF ELASTIC FLEXURAL WAVES IN NON-UNIFORM BEAMS BASED ON MEASUREMENT OF STRAINS AND ACCELERATIONS

✍ L. HILLSTRÖM; B. LUNDBERG 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 431 KB

Elastic #exural waves in an unloaded and unsupported segment of a non-uniform beam were considered. A method based on Timoshenko's model was established for evaluation of shear force, transverse velocity, bending moment and angular velocity at an arbitrary section from four independent measurements

Free Wave Propagation In Rotationally Re

Free Wave Propagation In Rotationally Restrained Infinite Periodic Beams

✍ S. Mukherjee; S. Parthan 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 241 KB

A suitably chosen deflection function is used to analyze the free vibration of rotationally restrained infinite periodic beams on transversely rigid supports by the wave approach. The assumed complex modes of wave motion which satisfy the wave boundary conditions are used in a Galerkin type of analy

WAVE PROPAGATION, REFLECTION AND TRANSMI

WAVE PROPAGATION, REFLECTION AND TRANSMISSION IN TUNABLE FLUID-FILLED BEAMS

✍ N.R. HARLAND; B.R. MACE; R.W. JONES 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 366 KB

This paper concerns wave motion in tunable #uid-"lled beams. The beams comprise two elastic faceplates with a central core of tunable #uid such as electro-rheological or magneto-rheological #uid. Free wave propagation is considered and three wave modes are seen to exist. The corresponding wavenumber