Size-dependent vibration characteristics of fluid-conveying microtubes

Wang, Lin

doi:10.1016/j.jfluidstructs.2010.02.005

Cited by 177 publications

(47 citation statements)

References 44 publications

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“…The mechanical behavior of uid conveying microtube was investigated based on the modi ed couple stress theory by Wang [34]. He derived the natural frequency of the system and calculated the critical ow velocity.…”

Section: Introductionmentioning

confidence: 99%

Effect of size dependency on in-plane vibration of circular micro-rings

2017

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KEYWORDSMicro-ring; Modi ed couple stress theory; Resonant frequency.Abstract. In this paper, based on the modi ed couple stress theory, the size-dependent dynamic behavior of circular rings on elastic foundation is investigated. The ring is modeled by Euler-Bernoulli and Timoshenko beam theories, and Hamilton's principle is utilized to derive the equations of motion and boundary conditions. The formulation derived is a general form of the equation of motion of circular rings and can be reduced to the classical form by eliminating the size-dependent terms. On this basis, the size-dependent natural frequencies of a circular ring are calculated based on the non-classical Euler-Bernoulli and Timoshenko beam theories. The ndings are compared with classical beam theories. Response of the micro-ring under application of static and dynamic loads is investigated and compared with the classical theories. Results show that when the thickness of the ring is in the order of the length scale of the ring material, the natural frequencies evaluated using the modi ed couple stress are considerably more than those predicted based on the classical beam theories, while the de ection and natural frequencies of the classical and non-classical beam theories approach one another for the rings with thickness much larger than the material length scale.

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Section: Introductionmentioning

confidence: 99%

Effect of size dependency on in-plane vibration of circular micro-rings

2017

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“…Païdoussis [1,2] , Wang [3] and Lu [4] have studied the dynamical stability problem of pipes conveying fluid. Some researchers have studied the dynamical behaviors of the similar structures, such as cylindrical shell filled with fluid [5] , overhead lines [6] and pipes [7][8][9] .…”

Section: Introductionmentioning

confidence: 99%

Passive Vibration Control of Pipes Conveying Fluid with Parallel Nonlinear Energy Sinks

Nan¹,

Fang²,

Teng³

2017

dtcse

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Excessive vibration energy of the pipes conveying fluid could be dissipated by nonlinear targeted energy transfer. The parallel nonlinear energy sink devices were attached to the pipe for absorbing the vibration energy. Galerkin method was utilized to discretize the equation of the integrated translating pipe-NES system derived from Newton's second law. The numerical simulation was applied to show the vibration suppression effect. Results showed that the parallel NES could effectively dissipate the vibration of the pipes conveying fluid. Compared with the single NES under the same condition, the parallel NES not only owns less mass but also better dissipated effect.

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“…According to their theory, two material constants in couple stress theory are reduced to only one length scale parameter. In this view, this modified theory has been applied to model microbeams by many researchers [33][34][35][36][37].…”

Section: Introductionmentioning

confidence: 99%

Using Modified Couple Stress Theory to Investigate the Size-Dependent Instability of Rotational Nano-Actuator under Van der Waals Force

Beni

2015

A P J Eng Sci

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While experiments reveal that the mechanical response of nano-structures is size-dependent, classic continuum theories are not able to simulate this size effect. In this paper, a non-classic continuum theory e.g. modified couple stress theory is applied for modeling the size dependent instability of torsional nano-actuator. The constitutive equation of the actuator is derived taking the effect of electrostatic and molecular forces into account. Variation of the tilt angle as a function of the applied voltage is obtained and the instability parameters i.e. instability voltage and instability angle are determined. Two actuators with different cross-sectional torsional beams are investigated as case studies. Results show that when the thickness of the torsional beam is comparable with the intrinsic material length scale, size-dependency of material characteristics can highly affect the instability parameters of the actuator. The effect of van der Waals (vdW) molecular forces on the size-dependent instability is investigated. Furthermore, the minimum gap between the mirror and the ground to ensure that the actuator does not adhere the substrate (due to molecular force) is computed. It is found that proposed model is able to predict the experimental results more accurately than the previous classic models.

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Size-dependent vibration characteristics of fluid-conveying microtubes

Cited by 177 publications

References 44 publications

Effect of size dependency on in-plane vibration of circular micro-rings

Effect of size dependency on in-plane vibration of circular micro-rings

Passive Vibration Control of Pipes Conveying Fluid with Parallel Nonlinear Energy Sinks

Using Modified Couple Stress Theory to Investigate the Size-Dependent Instability of Rotational Nano-Actuator under Van der Waals Force

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