A correction method for the analysis of continuous linear one-dimensional systems under moving loads

Bilello, C.; Paola, Mario Di; Salamone, Salvatore

doi:10.1016/j.jsv.2008.01.040

Cited by 12 publications

(4 citation statements)

References 41 publications

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“…These methods need the higher-order derivatives of forcing functions, therefore the forcing function should be described by analytical laws to guarantee the accuracy of responses. Recently, the corrections for eliminating the modal truncation error have been studied for stochastic systems (for details, see Benfratello and Muscolino, 2001;Cacciola et al, 2007;and Palmeri and Lombardo, 2011) and continuous systems (Bilello et al, 2005(Bilello et al, , 2008Palmeri and Lombardo, 2011).…”

Section: Introductionmentioning

confidence: 99%

Accurate method for harmonic responses of non-classically damped systems in the middle frequency range

Wang

2014

Journal of Vibration and Control

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This paper is aimed at eliminating the influence of the problem of the harmonic response analysis of non-classically damped systems with lower-higher-modal truncation. Based on the Neumann expansion theorem and the frequency shifting technique, the relationships satisfied by eigensolutions and system matrices are established and an explicit expression on the lower-higher-modal truncation error of harmonic responses can be expressed as a sum of available modes and system matrices. A correction method, which only involves the available modes and system matrices, is then presented to calculate the harmonic responses. The method maintains original-space without having to involve the state-space equation of motion such that it is efficient in computational effort and storage capacity. The method is convergent if and only if all the modes whose resonant frequencies lie within the range of excitation frequencies are available. Finally, a two-stage floating raft isolation system and a sandwich plate are used to to validate the effectiveness of the presented method.

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Section: Introductionmentioning

confidence: 99%

Accurate method for harmonic responses of non-classically damped systems in the middle frequency range

Wang

2014

Journal of Vibration and Control

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“…Biondi and Muscolino [7] proposed another series expansion method with improved convergence and accuracy for calculating the internal forces in beams taking into account the gravitational, inertial and damping effects due to the moving oscillators. Bilello et al [8] presented a correction procedure to improve the evaluation of the dynamic response of linear, proportionally damped, continuous onedimensional systems traversed by moving loads including a moving force and a moving mass.…”

Section: Introductionmentioning

confidence: 99%

Finite element formulae for internal forces of Bernoulli–Euler beams under moving vehicles

Lou

2013

Journal of Sound and Vibration

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This paper presents finite element formulae for calculating accurately the internal forces, namely bending moment and shear force, of Bernoulli-Euler beams under moving vehicles. The formulae for evaluating these internal forces are derived based on the dynamic equilibrium conditions and the solution procedure is also given. The correctness of the proposed formulae is verified by comparing with available closed-form solutions. The internal forces of simply supported and continuous beams subjected to moving vehicles are obtained by several methods. The numerical results show that the proposed formulae are efficient and accurate in predicting the internal forces.

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“…slender Euler-Bernoulli beams under fixed and moving loads, have been also proposed in a handful of articles [10][11][12][13][14] by extending the methods discussed above for discrete structures, and thus they enjoy the same advantages and suffers from the same disadvantages.…”

Section: Introductionmentioning

confidence: 99%

A new modal correction method for linear structures subjected to deterministic and random loadings

Palmeri

Lombardo

2011

Computers & Structures

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Citation: PALMERI, A. and LOMBARDO, M., 2011. A new modal correction method for linear structures subjected to deterministic and random loadings. Computers and Structures, AbstractIn the general framework of linear structural dynamics, modal corrections methods allow improving the accuracy of the response evaluated with a reduced number of modes. Although very often neglected by researchers and practitioners, this correction is particularly important when strains and stresses are computed. Aimed at overcoming the main limitations of existing techniques, a novel dynamic modal acceleration method (DyMAM) is presented and numerically validated. The proposed correction involves a set of additional dummy oscillators, one for each dynamic loading, and can be applied, with a modest computational effort, to discrete and continuous systems under deterministic and random inputs.

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A correction method for the analysis of continuous linear one-dimensional systems under moving loads

Cited by 12 publications

References 41 publications

Accurate method for harmonic responses of non-classically damped systems in the middle frequency range

Accurate method for harmonic responses of non-classically damped systems in the middle frequency range

Finite element formulae for internal forces of Bernoulli–Euler beams under moving vehicles

A new modal correction method for linear structures subjected to deterministic and random loadings

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