𝔖 Bobbio Scriptorium
✦   LIBER   ✦

RESPONSE OF A BENDING–TORSION COUPLED BEAM TO DETERMINISTIC AND RANDOM LOADS

✍ Scribed by S.H.R. Eslimy-Isfahany; J.R. Banerjee; A.J. Sobey

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
458 KB
Volume
195
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

✦ Synopsis

The response of a beam coupled in bending and torsion to deterministic and random loads is investigated by using the normal mode method. The loading on the beam may be either concentrated or distributed over its length. The deterministic load is assumed to be varying harmonically, whereas the random load is assumed to be Gaussian, having both stationary and ergodic properties. A general analytical theory is developed, and is applied to a cantilever aircraft wing for which there is substantial coupling between the bending and torsional modes of deformation. Numerical results for the dynamic flexural and torsional displacements are presented and discussed.

📜 SIMILAR VOLUMES

EXPLICIT FREQUENCY EQUATION AND MODE SHA
EXPLICIT FREQUENCY EQUATION AND MODE SHAPES OF A CANTILEVER BEAM COUPLED IN BENDING AND TORSION
✍ J.R. BANERJEE 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 160 KB

Exact explicit analytical expressions which give the natural frequencies and mode shapes of a bending}torsion coupled beam with cantilever end condition are derived by rigorous application of the symbolic computing package REDUCE. The expressions are surprisingly concise and very simple to use. By w

Dynamic Response of a Rotating Beam Subj
Dynamic Response of a Rotating Beam Subjected to a Random Moving Load
✍ S.H. Zibdeh; S.H. Juma 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 305 KB

The problem of transverse vibrations of homogeneous isotropic rotating beams due to the passage of dierent types of loads is of considerable practical interest. Using analytical and numerical methods, this paper investigates the stochastic dynamic response of a rotating simply supported beam subject

RESPONSE OF A DUFFING OSCILLATOR TO COMB
RESPONSE OF A DUFFING OSCILLATOR TO COMBINED DETERMINISTIC HARMONIC AND RANDOM EXCITATION
✍ R. HAIWU; X. WEI; M. GUANG; F. TONG 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 230 KB

The response of Du$ng oscillator to combined deterministic harmonic and random excitation is investigated. The method of harmonic balance and the method of stochastic averaging are used to determine the response of the system. Theoretical analyses and numerical simulations show that when the intensi

DYNAMIC RESPONSE OF A HORIZONTALLY CURVE
DYNAMIC RESPONSE OF A HORIZONTALLY CURVED BEAM SUBJECTED TO VERTICAL AND HORIZONTAL MOVING LOADS
✍ Y.-B. YANG; C.-M. WU; J.-D. YAU 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 385 KB

Analytic solutions are derived for a horizontal curved beam subjected to vertical and horizontal moving loads. The horizontal moving loads may be regarded as the centrifugal forces generated by vehicles moving along a curved path, which were rarely studied by previous researchers. Both a single movi

COUPLED TRANSVERSE AND AXIAL MOTION OF A
COUPLED TRANSVERSE AND AXIAL MOTION OF A COMPLIANT STRUCTURE IN RESPONSE TO VORTEX-SHEDDING LOADS
✍ S.N. KUCHNICKI; H. BENAROYA 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 479 KB

A compliant offshore tower is modelled as a structure having extensional and transverse degrees of freedom. McIver's extension of Hamilton's principle is applied to the system, resulting in coupled non-linear equations of motion, due to the assumption of small strain and moderate rotation. The equat

An explicit representation of steady sta
An explicit representation of steady state response of a beam on an elastic foundation to moving harmonic line loads
✍ Lu Sun 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 166 KB

## Abstract A closed‐form deflection response of a beam rest is presented in this paper using the integral transform method. The theory of linear partial differential equations is used to represent the deflection of beam subjected to a moving harmonic line load in integration form. The solution is