𝔖 Bobbio Scriptorium
✦   LIBER   ✦

MOTION OF A MOVING ELASTIC BEAM CARRYING A MOVING MASS—ANALYSIS AND EXPERIMENTAL VERIFICATION

✍ Scribed by S. PARK; Y. YOUM

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
623 KB
Volume
240
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, vibrational motion of an elastic beam "xed on a moving cart and carrying a moving mass is investigated. The equations of motion of the beam}mass}cart system are derived and the coupled dynamic equations are solved by the unconstrained modal analysis. In modal analysis, the exact normal mode solutions corresponding to the eigenfrequencies for each position of the moving mass and the ratios of the weight of the beam}mass}cart system are used. Proper transformation of time solutions between the normal modes for a position and those for the next position of the moving mass is also considered. Numerical simulations are carried out to obtain open-loop responses of the system in tracking pre-designed paths of the moving mass. The simulation results show that the model predicts the dynamic behavior of the beam}mass}cart system well. Experiments are carried out to show the validity of the proposed analytical method.

2001 Academic Press *¸P *xR xR # J *¸C *xR xR # *¸C *w R w R # *¸C *w w# *¸C *w w# *¸C *h h # *¸C *h h dy

📜 SIMILAR VOLUMES

DYNAMICS OF A FLEXIBLE BEAM CARRYING A M
DYNAMICS OF A FLEXIBLE BEAM CARRYING A MOVING MASS USING PERTURBATION, NUMERICAL AND TIME-FREQUENCY ANALYSIS TECHNIQUES
✍ S.A.Q. SIDDIQUI; M.F. GOLNARAGHI; G.R. HEPPLER 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 898 KB

The dynamic behaviour of a #exible cantilever beam carrying a moving mass-spring is investigated. This system is an idealization of an important class of problems that are characterized by interaction between a continuously distributed mass and sti!ness sub-system (the beam), and a lumped mass and s

NATURAL FREQUENCIES AND OPE–LOOP RESPONS
NATURAL FREQUENCIES AND OPE–LOOP RESPONSES OF AN ELASTIC BEAM FIXED ON A MOVING CART AND CARRYING AN INTERMEDIATE LUMPED MASS
✍ S. PARK; W.K. CHUNG; Y. YOUM; J.W. LEE 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 339 KB

In this paper, the motion of a Bernoulli}Euler cantilever beam clamped on a moving cart and carrying an intermediate lumped mass is considered. The equations of motion of the beam}mass}cart system are analyzed through unconstrained modal analysis, and a uni"ed characteristic equation for calculating

HEAVE AND PITCH MOTIONS OF A SHIP DUE TO
HEAVE AND PITCH MOTIONS OF A SHIP DUE TO MOVING MASSES AND FORCES
✍ M. ARYANPOUR; M. GHORASHI 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 145 KB

The coupled heave and pitch motions of a ship #oating on a still water surface and subjected to a moving mass have been investigated. The ship hull is considered as a rigid body with two degrees of freedom and supported by buoyancy force. Based on the general equations of ship dynamics, the governin