Nonlinear forced vibration and detached resonance curves of axially moving functionally graded carbon nanotube reinforced composite plates

Authors: Zhihua Wu, Yimin Zhang, Guo Yao, Yongheng Yu

Source: Acta Mechanica. 235:4717-4741

Subject Terms: Vibrations in dynamical problems in solid mechanics, rectangular plate, Inhomogeneity in solid mechanics, Numerical approximation of solutions of dynamical problems in solid mechanics, saddle-node/Hopf bifurcation, von Kármán geometric nonlinearity, incremental harmonic balance method, Dynamical bifurcation of solutions to dynamical problems in solid mechanics, Composite and mixture properties, Plates, frequency response curve, Galerkin method

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Hölder continuity of exponential pullback attractors for Form II Mindlin's strain gradient viscoelastic plate: Hölder continuity of exponential pullback attractors for form II Mindlin's strain gradient viscoelastic plate

Authors: Aouadi, Moncef

Source: Discrete and Continuous Dynamical Systems - B. 29:875-908

Subject Terms: Bifurcations in context of PDEs, exponential pullback attractor, Hölder continuity, existence, Abstract integral equations, integral equations in abstract spaces, weak solution, Dynamical bifurcation of solutions to dynamical problems in solid mechanics, upper-semicontinuity, Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems, Integro-partial differential equations, well-posedness, Attractors, semigroup of contractions, Plates, Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems, strain gradient viscoelastic plate, pullback attractor

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Complex dynamics of a nonlinear discrete predator–prey system with fear factor and harvesting effect: Complex dynamics of a nonlinear discrete predator-prey system with fear factor and harvesting effect

Authors: Ceyu Lei, Xiaoling Han

Source: International Journal of Biomathematics. 18

Subject Terms: Bifurcation theory for random and stochastic dynamical systems, flip bifurcation, chaos, Bifurcations of limit cycles and periodic orbits in dynamical systems, Difference equations, scaling (\(q\)-differences), Neimark-Sacker bifurcation, predator-prey system, Dynamical bifurcation of solutions to dynamical problems in solid mechanics, 0101 mathematics, stability analysis, 01 natural sciences, Bifurcation theory of functional-differential equations

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Nonlinear dynamics of pipes composed of Mooney-Rivlin hyperelastic materials conveying unsteady fluid flow

Authors: Guo, Yang, Li, Ji-an, Zhu, Bo, Li, Yinghui

Source: European Journal of Mechanics - A/Solids. 102:105124

Subject Terms: Vibrations in dynamical problems in solid mechanics, period oscillations, phase trajectory, global bifurcation diagram, Nonlinear elasticity, fluid-structure interaction, Dynamical bifurcation of solutions to dynamical problems in solid mechanics, power spectral density, Poincaré map, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)

File Description: application/xml

Access URL: https://zbmath.org/7738806
https://doi.org/10.1016/j.euromechsol.2023.105124

A theoretical study on magneto-mechano-electric coupling of nonlinear tristable magnetic energy harvesters

Authors: Wang, Yongkun, Xu, Jin, Li, Ni, Shi, Yang

Source: European Journal of Mechanics - A/Solids. 101:105080

Subject Terms: Finite difference methods applied to problems in solid mechanics, magnetic dipole method, Vibrations in dynamical problems in solid mechanics, Electromagnetic effects in solid mechanics, nonlinear magnetic force, bifurcation analysis, Dynamical bifurcation of solutions to dynamical problems in solid mechanics, Rods (beams, columns, shafts, arches, rings, etc.), modal expansion, Galerkin method, extended Hamilton principle, Euler-Bernoulli beam vibration

File Description: application/xml

Access URL: https://zbmath.org/7736649
https://doi.org/10.1016/j.euromechsol.2023.105080

On the buckling load estimation of grid-stiffened composite conical shells using vibration correlation technique

Authors: Zarei M., Rahimi G. H., Hemmatnezhad M., Pellicano F.

Source: European Journal of Mechanics - A/Solids. 96:104667

Subject Terms: Finite element methods applied to problems in solid mechanics, Bifurcation and buckling, finite element method, Dynamical bifurcation of solutions to dynamical problems in solid mechanics, 02 engineering and technology, Experimental work for problems pertaining to mechanics of deformable solids, fundamental natural frequency, Shells, axial compression, Vibrations in dynamical problems in solid mechanics, experimental modal analysis, 0203 mechanical engineering, Composite and mixture properties, Buckling load, Experimental modal analysis, Finite element method, Grid-stiffened conical shell, Vibration correlation technique

File Description: application/xml; application/pdf

Access URL: https://zbmath.org/7579258
https://doi.org/10.1016/j.euromechsol.2022.104667
https://hdl.handle.net/11380/1281139
https://doi.org/10.1016/j.euromechsol.2022.104667

Automatic time stepping algorithms for implicit numerical simulations of non-linear dynamics: Automatic time stepping algorithms for implicit numerical simulations of nonlinear dynamics.

Authors: Noels, Ludovic, Stainier, Laurent, Ponthot, Jean-Philippe, Bonini, Jérôme

Source: Advances in Engineering Software. 33:589-603

Subject Terms: Sciences informatiques, dynamics, Dynamical bifurcation of solutions to dynamical problems in solid mechanics, 02 engineering and technology, automatic time-stepping, dynamic buckling, Computer science, Taylor bar, Mechanical engineering, Engineering, computing & technology, Ingénierie, informatique & technologie, Finite difference methods applied to problems in solid mechanics, non-linear dynamics, Ingénierie mécanique, 0203 mechanical engineering, plasticity, contact-impact, computer simulations, implicit, Rods (beams, columns, shafts, arches, rings, etc.), time step, 0210 nano-technology

File Description: application/xml

Access URL: https://orbi.uliege.be/bitstream/2268/213/1/2002_AES_Automatic.pdf
https://www.sciencedirect.com/science/article/pii/S096599780200073X
https://hal.archives-ouvertes.fr/hal-01005284
https://dl.acm.org/doi/10.1016/S0965-9978%2802%2900073-X
http://orbi.ulg.ac.be/bitstream/2268/213/1/2002_AES_Automatic.pdf
http://www.sciencedirect.com/science/article/pii/S096599780200073X
https://orbi.uliege.be/handle/2268/213
https://hdl.handle.net/2268/403

An Example of Stick-Slip Waves: An example of stick-slip waves

Authors: Moirot, Franck, Son Nguyen, Quoc

Contributors: PSA Peugeot - Citroën (PSA), PSA Peugeot Citroën (PSA), Laboratoire de Mécanique des Solides (LMS), École polytechnique (X), Institut Polytechnique de Paris (IP Paris)-Institut Polytechnique de Paris (IP Paris)-Centre National de la Recherche Scientifique (CNRS)

Source: Solid Mechanics and Its Applications ISBN: 9789048160990

Subject Terms: dynamic bifurcation, friction, stick-slip waves, [SPI.MECA.MSMECA]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Materials and structures in mechanics [physics.class-ph], Dynamical bifurcation of solutions to dynamical problems in solid mechanics, elastic cylindrical tube, 02 engineering and technology, [PHYS.MECA.MSMECA]Physics [physics]/Mechanics [physics]/Materials and structures in mechanics [physics.class-ph], rigid rotating cylinder, Contact in solid mechanics, 01 natural sciences, Coulomb's friction, analytical solution, Friction in solid mechanics, 0203 mechanical engineering, 0101 mathematics, Linear waves in solid mechanics, contact

File Description: application/xml

Access URL: https://zbmath.org/1555298
https://doi.org/10.1016/s1620-7742(00)01238-1
https://ui.adsabs.harvard.edu/abs/2000CRASB.328..663M/abstract
https://rd.springer.com/chapter/10.1007/978-94-017-1154-8_12
https://link.springer.com/chapter/10.1007/978-94-017-1154-8_12
https://www.sciencedirect.com/science/article/pii/S1620774200012381
http://www.sciencedirect.com/science/article/pii/S1620774200012381

Nonlinear dynamics of filaments. IV Spontaneous looping of twisted elastic rods: Nonlinear dynamics of filaments. IV: Spontaneous looping of twisted elastic rods

Authors: Michael Tabor, Alain Goriely

Source: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences. 454:3183-3202

Subject Terms: spontaneous looping, dispersion relation, 0103 physical sciences, Dynamical bifurcation of solutions to dynamical problems in solid mechanics, amplitude equations, Rods (beams, columns, shafts, arches, rings, etc.), Kirchhoff equation, 01 natural sciences, sequence of bifurcations, 6. Clean water, Stability of dynamical problems in solid mechanics, writhing instability, twisted elastic filaments

File Description: application/xml

Access URL: http://ui.adsabs.harvard.edu/abs/1999lsws.book..235G/abstract
https://arizona.pure.elsevier.com/en/publications/nonlinear-dynamics-of-filaments-iv-spontaneous-looping-of-twisted
https://www.royalsocietypublishing.org/doi/10.1098/rspa.1998.0297
https://rspa.royalsocietypublishing.org/content/454/1980/3183

Local bifurcations and codimension-3 degenerate bifurcations of a quintic nonlinear beam under parametric excitation

Authors: Fengxia Wang, Wei Zhang, Jean W. Zu

Source: Chaos, Solitons & Fractals. 24:977-998

Subject Terms: Bifurcation theory for ordinary differential equations, Dynamical systems in solid mechanics, Bifurcations of limit cycles and periodic orbits in dynamical systems, 0103 physical sciences, Dynamical bifurcation of solutions to dynamical problems in solid mechanics, Rods (beams, columns, shafts, arches, rings, etc.), 01 natural sciences, Bifurcations and instability for nonlinear problems in mechanics

File Description: application/xml

Access URL: https://zbmath.org/2167911
https://doi.org/10.1016/j.chaos.2004.09.100
http://www.sciencedirect.com/science/article/pii/S0960077904005892
https://www.sciencedirect.com/science/article/pii/S0960077904005892
https://www.sciencedirect.com/science/article/pii/S0960077904005892#!
https://ideas.repec.org/a/eee/chsofr/v24y2005i4p977-998.html
https://ui.adsabs.harvard.edu/abs/2005CSF....24..977Z/abstract

Nonlinear dynamical analysis of axially moving viscoelastic strings

Authors: Li-Qun Chen, Neng-Hui Zhang

Source: Chaos, Solitons & Fractals. 24:1065-1074

Subject Terms: bifurcation diagrams, Vibrations in dynamical problems in solid mechanics, Dynamical systems in solid mechanics, 0203 mechanical engineering, Galerkin truncations, 0103 physical sciences, Chaotic behavior of solutions to dynamical problems in solid mechanics, Strings, Dynamical bifurcation of solutions to dynamical problems in solid mechanics, 02 engineering and technology, chaotic motions, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/2167919
https://doi.org/10.1016/j.chaos.2004.09.113
https://ideas.repec.org/a/eee/chsofr/v24y2005i4p1065-1074.html
https://www.sciencedirect.com/science/article/pii/S0960077904006022
https://ui.adsabs.harvard.edu/abs/2005CSF....24.1065Z/abstract

Bifurcations of a flexible rotor response in squeeze-film dampers without centering springs

Authors: J.I. Inayat-Hussain

Source: Chaos, Solitons & Fractals. 24:583-596

Subject Terms: Robot dynamics and control of rigid bodies, 0203 mechanical engineering, 0103 physical sciences, Dynamical bifurcation of solutions to dynamical problems in solid mechanics, 02 engineering and technology, Kinematics of mechanisms and robots, 01 natural sciences, 7. Clean energy

File Description: application/xml

Access URL: https://research.monash.edu/en/publications/bifurcations-of-a-flexible-rotor-response-in-squeeze-film-dampers
http://ui.adsabs.harvard.edu/abs/2005CSF....24..583I/abstract
https://ideas.repec.org/a/eee/chsofr/v24y2005i2p583-596.html
http://www.sciencedirect.com/science/article/pii/S0960077904005569
https://www.sciencedirect.com/science/article/pii/S0960077904005569

Buckling and transient behaviour of layered composite plates under thermomechanical loading

Authors: Y. Nath, Edwin Kreuzer, K.K. Shukla

Source: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 85:163-175

Subject Terms: Thermal effects in solid mechanics, Dynamical bifurcation of solutions to dynamical problems in solid mechanics, 02 engineering and technology, Composite and mixture properties, Plates, rectangular plates, Chebyshev series, 0201 civil engineering

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Access URL: https://ui.adsabs.harvard.edu/abs/2005ZaMM...85..163S/abstract

Axisymmetric buckling of laminated thick annular spherical cap

Authors: G.P. Dube, Ashis Mallick, P.C. Dumir

Source: Communications in Nonlinear Science and Numerical Simulation. 10:191-204

Subject Terms: collocation method, 0203 mechanical engineering, Bifurcation and buckling, orthotropy, 0103 physical sciences, Dynamical bifurcation of solutions to dynamical problems in solid mechanics, 02 engineering and technology, Composite and mixture properties, shear effect, 01 natural sciences, Shells

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/pii/S1007570403001242
https://ui.adsabs.harvard.edu/abs/2005CNSNS..10..191D/abstract

Bifurcation and chaos of an axially accelerating viscoelastic beam

Authors: Li-Qun Chen, Xiao-Dong Yang

Source: Chaos, Solitons & Fractals. 23:249-258

Subject Terms: Bifurcations in context of PDEs, 0103 physical sciences, Chaotic behavior of solutions to dynamical problems in solid mechanics, Dynamical bifurcation of solutions to dynamical problems in solid mechanics, Rods (beams, columns, shafts, arches, rings, etc.), 01 natural sciences

File Description: application/xml

Access URL: https://ui.adsabs.harvard.edu/abs/2005CSF....23..249Y/abstract
https://www.sciencedirect.com/science/article/pii/S0960077904002449

Brittle fracture dynamics with arbitrary paths III. The branching instability under general loading: Brittle fracture dynamics with arbitrary paths. III: The branching instability under general loading

Authors: Mokhtar Adda-Bedia

Source: Journal of the Mechanics and Physics of Solids. 53:227-248

Subject Terms: Brittle fracture, dynamic stress intensity factors, principle of local symmetry, bifurcation, 0103 physical sciences, energy release rate, Dynamical bifurcation of solutions to dynamical problems in solid mechanics, Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics, 01 natural sciences

File Description: application/xml

Access URL: http://ui.adsabs.harvard.edu/abs/2005JMPSo..53..227A/abstract
http://www.lps.ens.fr/~adda/papiers/JMPS05.pdf
https://www.sciencedirect.com/science/article/pii/S0022509604001073

Dynamical behaviors of nonlinear viscoelastic thick plates with damage

Authors: Dong-Fa Sheng, Chang-Jun Cheng

Source: International Journal of Solids and Structures. 41:7287-7308

Subject Terms: Nonlinear constitutive equations for materials with memory, 0203 mechanical engineering, Timoshenko's plates, Boltzmann's superposition principles, Anelastic fracture and damage, 0103 physical sciences, Dynamical bifurcation of solutions to dynamical problems in solid mechanics, 02 engineering and technology, Plates, Galerkin method, 01 natural sciences

File Description: application/xml

Access URL: https://dialnet.unirioja.es/servlet/articulo?codigo=1002888
http://www.sciencedirect.com/science/article/pii/S0020768304003269
https://www.sciencedirect.com/science/article/pii/S0020768304003269

Effects of a low frequency parametric excitation

Authors: Faouzi Lakrad, Werner Schiehlen

Source: Chaos, Solitons & Fractals. 22:1149-1164

Subject Terms: Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics, 0103 physical sciences, Dynamical bifurcation of solutions to dynamical problems in solid mechanics, 0101 mathematics, 01 natural sciences, Bifurcations and instability for nonlinear problems in mechanics, Strange attractors, chaotic dynamics of systems with hyperbolic behavior

File Description: application/xml

Access URL: https://zbmath.org/2141659
https://doi.org/10.1016/j.chaos.2004.03.029
http://www.sciencedirect.com/science/article/pii/S0960077904001651
https://www.sciencedirect.com/science/article/pii/S0960077904001651
https://ui.adsabs.harvard.edu/abs/2004CSF....22.1149L/abstract

The Secondary Bifurcation of an Aeroelastic Airfoil Motion: Effect of High Harmonics: The secondary bifurcation of an aeroelastic airfoil motion: effect of high harmonics

Authors: Earl H. Dowell, Liping Liu

Source: Nonlinear Dynamics. 37:31-49

Subject Terms: harmonic balance method, hysteresis, 0103 physical sciences, Dynamical bifurcation of solutions to dynamical problems in solid mechanics, Hopf bifurcation, 01 natural sciences, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)

File Description: application/xml

Access URL: https://zbmath.org/2236954
https://doi.org/10.1023/b:nody.0000040033.85421.4d
https://link.springer.com/article/10.1023/B:NODY.0000040033.85421.4d

Dynamic buckling of stiffened plates under fluid-solid impact load

Authors: Xiong You-lun, Zhang Tao, Liu Tu-guang, Zhang Wei-heng

Source: Applied Mathematics and Mechanics. 25:827-835

Subject Terms: 0203 mechanical engineering, nonlinearity, Dynamical bifurcation of solutions to dynamical problems in solid mechanics, 02 engineering and technology, Stiffened plate, dynamic buckling, Plates, Other numerical methods in solid mechanics, fluid-solid impact, Impact in solid mechanics, 0201 civil engineering

File Description: application/xml

Access URL: https://en.cnki.com.cn/Article_en/CJFDTOTAL-YYSX200407014.htm
https://link.springer.com/content/pdf/10.1007/BF02437576.pdf
https://link.springer.com/article/10.1007/BF02437576
https://www.amm.shu.edu.cn/EN/Y2004/V25/I7/827