Continuous transition between traveling mass and traveling oscillator using mixed variables

Cazzani, Antonio; Wagner, N.; Rüge, P.; Stochino, Flavio

doi:10.1016/j.ijnonlinmec.2015.06.017

Cited by 11 publications

(4 citation statements)

References 68 publications

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“…The technique here described could be in the future applied to determine the explicit solution of other problems, like, for example, the study of the dynamics of strings traveled by train of forces, as in [53,49]. The more complex problem involving a beam instead of a string is already known in the literature ( [56,1,13]). In this respect, impact effects between the mass and the beam, which can be of significant practical relevance since the constraint is of course never perfectly verified by real-world objects, could be investigated with the theoretical, numerical and experimental methods developed in [48,4,17,5,20].…”

Section: Conclusion and Discussionmentioning

confidence: 99%

An explicit solution for the dynamics of a taut string of finite length carrying a traveling mass: the subsonic case

Bersani

Corte

Piccardo

et al. 2016

Z. Angew. Math. Phys.

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The authors investigate the linear vibrations induced in an elastic string by a loading point-like mass constrained to moving on it with constant horizontal velocity. Exact solutions are shown in the case of subsonic regime. The displacement is explicitly provided in terms of a power series determined by iteration, which is shown to converge to the solution of the problem. The presence of a discontinuity in the right extremum of the considered space interval is also shown both analytically and numerically

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Section: Conclusion and Discussionmentioning

confidence: 99%

An explicit solution for the dynamics of a taut string of finite length carrying a traveling mass: the subsonic case

Bersani

Corte

Piccardo

et al. 2016

Z. Angew. Math. Phys.

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“…nonlinear dynamic behavior of curved beams, see [80], and of beams under impact and blast loading, see [81, 82].…”

Section: Concluding Remarks and Future Perspectivesmentioning

confidence: 99%

Modal analysis of laminates by a mixed assumed-strain finite element model

Cazzani

Rizzi

Stochino

et al. 2016

Mathematics and Mechanics of Solids

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Fibre-reinforced plates and shells are finding an increasing interest in engineering applications; in most cases dynamic\ud phenomena need to be taken into account. Consequently, effective and robust computational tools are sought in order\ud to provide reliable results for the analysis of such structural models. In this paper the mixed assumed-strain laminated\ud plate element, previously used for static analyses, has been extended to the dynamic realm. This model is derived\ud within the framework of the so-called First-order Shear Deformation Theory (FSDT). What is peculiar in this assumedstrain\ud finite element is that in-plane strain components are modeled directly; the corresponding stress components are\ud deduced via constitutive law. By enforcing the equilibrium equations for each lamina, and taking continuity requirements\ud into account, the out-of-plane shear stresses are computed and, finally, constitutive law provides the corresponding\ud strains. The resulting global strain field depends only on a fixed number of parameters, regardless of the total number of\ud layers. Since the proposed element is not locking-prone, even in the thin plate limit, and provides an accurate description\ud of inter-laminar stresses, an extension to the dynamic range seems to be particularly attractive. The same kinematic\ud assumptions will lead to the formulation of a consistent mass matrix. The element, developed in this way, has been\ud extensively tested for several symmetric lamination sequences; comparison with available analytical solutions and with\ud numerical results obtained by refined 3-D models are also presented

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“…The modeling and the analysis of such structures is a complex research topic which has received the attention of many researches starting from the nineteenth century [1]. The literature on the subject is wide and rich and it differs for the structures analyzed, which are strings [3][4][5][6][7], cables [8,9], beams [10][11][12][13][14] and plates [15,16], and the modeling of the load, which can be schematized as: i) moving force [17,18]; ii) moving mass [2,19]; iii) moving oscillator [20,21].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear planar modeling of massive taut strings travelled by a force-driven point-mass

et al. 2019

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Continuous transition between traveling mass and traveling oscillator using mixed variables

Cited by 11 publications

References 68 publications

An explicit solution for the dynamics of a taut string of finite length carrying a traveling mass: the subsonic case

An explicit solution for the dynamics of a taut string of finite length carrying a traveling mass: the subsonic case

Modal analysis of laminates by a mixed assumed-strain finite element model

Nonlinear planar modeling of massive taut strings travelled by a force-driven point-mass

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