Dynamic stability of a cantilever conductive plate in transverse impulsive magnetic field

Zheng, Xiaojing; Zhang, Jianping; Zhou, Youhe

doi:10.1016/j.ijsolstr.2004.09.016

Cited by 28 publications

(12 citation statements)

References 12 publications

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“…1, a conductive cantilever (whose left side face is in the z = 0 plane) is located in a static and in a timechanging magnetic flux field [11][12][13]: the time changing (B 0 ) and the static (B 1 ) fields have both transverse (B 1z , B 0z ) and in plane (B 1p , B 0p ) components. The transverse time-changing magnetic field generates eddy currents in the cantilever; the external dynamic and static magnetic fields (B 0 and B 1 ) and the induced currents in the cantilever are then responsible for electromagnetic forces acting on the cantilever.…”

Section: Operating Principlementioning

confidence: 99%

Magnetically induced oscillations on a conductive cantilever for resonant microsensors

Angelis

Ferrari

Marioli

et al. 2007

Sensors and Actuators A: Physical

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Section: Operating Principlementioning

confidence: 99%

Magnetically induced oscillations on a conductive cantilever for resonant microsensors

Angelis

Ferrari

Marioli

et al. 2007

Sensors and Actuators A: Physical

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“…In the theoretical studies of magneto-elastic vibrations of a current-carrying thin plate, Ambarcumian [9] and Moljchenko et al [10] did some creative work and got a lot of available outcome. Hasanyan et al [11] and Zheng et al [12] analyzed the dynamic characters of a current-conducting plate subjected to the current and pulsed magnetic fields, respectively. Hu et al [13] studied the electromagnetic elastic resonances and bifurcations of windings on the end of large-scale electric generator.…”

Section: Introductionmentioning

confidence: 99%

Magneto-elastic combination resonances analysis of current-conducting thin plate

2008

Appl. Math. Mech.-Engl. Ed.

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Based on the Maxwell equations, the nonlinear magneto-elastic vibration equations of a thin plate and the electrodynamic equations and expressions of electromagnetic forces are derived. In addition, the magneto-elastic combination resonances and stabilities of the thin beam-plate subjected to mechanical loadings in a constant transverse magnetic filed are studied. Using the Galerkin method, the corresponding nonlinear vibration differential equations are derived. The amplitude frequency response equation of the system in steady motion is obtained with the multiple scales method. The excitation condition of combination resonances is analyzed. Based on the Lyapunov stability theory, stabilities of steady solutions are analyzed, and critical conditions of stability are also obtained. By numerical calculation, curves of resonance-amplitudes changes with detuning parameters, excitation amplitudes and magnetic intensity in the first and the second order modality are obtained. Time history response plots, phase charts, the Poincare mapping charts and spectrum plots of vibrations are obtained. The effect of electro-magnetic and mechanical parameters for the stabilities of solutions and the bifurcation are further analyzed. Some complex dynamic performances such as perioddoubling motion and quasi-period motion are discussed.

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“…In the field of magnetoelasticity or magnetothermoelasticity, many studies have employed an analytical treatment of the interaction between elastic, electromagnetic and temperature fields; see, for instance, [Kaliski and Nowacki 1962;Kaliski and Michalec 1963;Paria 1967;Wauer 1996;Banerjee and Roychoudhuri 1997;Wang et al 2002;Librescu et al 2003;Ezzat and Youssef 2005;Zheng et al 2005]. However, there have been only a few analytical studies of thermal stresses induced by timedependent magnetic fields [Moon and Chattopadhyay 1974;Chian and Moon 1981;Wauer 1995].…”

Section: Introductionmentioning

confidence: 99%

Magnetothermoelastic stresses induced by a transient magnetic field in an infinite conducting plate

Higuchi

Kawamura

Tanigawa

et al. 2007

JOMMS

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We investigate the dynamic and quasistatic behavior of magnetothermoelastic stresses induced by a transient magnetic field in an infinite conducting plate. A transient magnetic field defined by an arbitrary function of time acts on both surfaces of the infinite plate and parallel to them. The fundamental equations of one-dimensional electromagnetic, temperature and elastic fields are formulated, and solutions for the magnetic field, eddy current, temperature change and dynamic and quasistatic solutions for stresses and deformations are analytically derived, in terms of the excitation function. The stress solutions are determined to be sums of a thermal stress component caused by eddy current loss and a magnetic stress component caused by the Lorentz force. The case of a magnetic field defined by a smoothed ramp function with a sine-function profile is examined in particular, and the dynamic and quasistatic behavior of the stresses are numerically calculated.

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Dynamic stability of a cantilever conductive plate in transverse impulsive magnetic field

Cited by 28 publications

References 12 publications

Magnetically induced oscillations on a conductive cantilever for resonant microsensors

Magnetically induced oscillations on a conductive cantilever for resonant microsensors

Magneto-elastic combination resonances analysis of current-conducting thin plate

Magnetothermoelastic stresses induced by a transient magnetic field in an infinite conducting plate

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