“…(7) which converts the problem into a classical one, i.e., vibration of a beam subjected to a moving mass traveling with constant speed. Then, the results are comparable to those obtained from a scaled experimental model tested by Bilello et al [18] for a simply supported beam subjected to a moving mass for various velocities. The comparison shown in Table 2 indicates the good agreement between the measured and the predicted data for various moving mass velocities.…”
Section: Transverse Vibration Of a Beam Subjected To A Moving Mass Insupporting
confidence: 80%
“…The obtained algebraic equations were solved by an iterative scheme. A small-scale bridge model subjected to a moving concentrated mass was investigated in [18]. A simply supported Euler-Bernoulli beam was used, and the deflection of the beam was expanded in a series of eigenfunctions.…”
mentioning
confidence: 99%
“…Maximum deflection at point x = 7/16l for a simply supported beam subjected to a moving mass (measured[18] and the developed numerical code)Fig. 4 Total reaction force between the moving mass and the beam versus time for different number of modes-sliding case…”
In this paper, transverse and coupled longitudinal-transverse vibration of a beam subjected to a moving mass traveling with variable speed is considered. The speed change can be due to either an external force (traction or braking force) or the sliding friction force created immediately after the braking. The equation of motions for both cases was extracted and discretized using Galerkin decomposition method. The dynamic response of the beam and the moving mass was calculated and compared for different loading scenario. Next, coupled longitudinal-transverse vibration of a beam under the friction force was studied and the effect of friction coefficient on the dynamic response of the system was evaluated. A comparison between transverse and coupled longitudinal-transverse vibration of the beam subjected to a moving mass was also made.
“…(7) which converts the problem into a classical one, i.e., vibration of a beam subjected to a moving mass traveling with constant speed. Then, the results are comparable to those obtained from a scaled experimental model tested by Bilello et al [18] for a simply supported beam subjected to a moving mass for various velocities. The comparison shown in Table 2 indicates the good agreement between the measured and the predicted data for various moving mass velocities.…”
Section: Transverse Vibration Of a Beam Subjected To A Moving Mass Insupporting
confidence: 80%
“…The obtained algebraic equations were solved by an iterative scheme. A small-scale bridge model subjected to a moving concentrated mass was investigated in [18]. A simply supported Euler-Bernoulli beam was used, and the deflection of the beam was expanded in a series of eigenfunctions.…”
mentioning
confidence: 99%
“…Maximum deflection at point x = 7/16l for a simply supported beam subjected to a moving mass (measured[18] and the developed numerical code)Fig. 4 Total reaction force between the moving mass and the beam versus time for different number of modes-sliding case…”
In this paper, transverse and coupled longitudinal-transverse vibration of a beam subjected to a moving mass traveling with variable speed is considered. The speed change can be due to either an external force (traction or braking force) or the sliding friction force created immediately after the braking. The equation of motions for both cases was extracted and discretized using Galerkin decomposition method. The dynamic response of the beam and the moving mass was calculated and compared for different loading scenario. Next, coupled longitudinal-transverse vibration of a beam under the friction force was studied and the effect of friction coefficient on the dynamic response of the system was evaluated. A comparison between transverse and coupled longitudinal-transverse vibration of the beam subjected to a moving mass was also made.
“…Bilello, Bergman [3] experimentally investigated a small-scale bridge model under a moving mass and demonstrated that there is excellent agreement between analytical and experimental results without significant inertial influence at different mass velocities. Sung [4] investigated the dynamic modeling and piezoelectric control of a simply supported beam subjected to a moving mass.…”
A self-recurrent wavelet neural network (SRWNN) is used to control suppression of vibration of an Euler-Bernoulli beam under excitation of a moving mass traveling along a vibrating path. The proposed control structure uses one SRWNN as an identifier and one as a controller. The SRWNN identifier is trained to model the dynamic behavior of the process and provide the SRWNN controller with information about system sensitivity. The SRWNN controller uses the sensitivity information provided by the SRWNN identifier to update weights and produce a signal that controls beam vibration. The gradient descent method and adaptive learning rates (ALRs) are used to update all SRWNN weights. The ALRs are obtained using the discrete Lyapunov stability theorem which guarantees the convergence of the proposed control structure. The performance and robustness of the proposed controller are evaluated at different mass ratios of moving mass to beam and for dimensionless velocity of a moving mass. The simulations verify the effectiveness and robustness of the controller.
“…Since small scale laboratory based experiments can be related to larger prototypes [19,18], such experiments serve as an efficient and economic way of investigating damage general model free damage assessment and structural health monitoring which is robust against noise. Since the analysis is carried out at a signal level, the proposed approach is not limited to linear systems.…”
Original citationPakrashi, V., O'Connor A.J., Basu B., 2010. A bridge-vehicle interaction based experimental investigation of damage evolution. Structural Health Monitoring, 9 (4):285-296.
Type of publicationArticle (peer-reviewed)
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.