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The global structure of periodic solutions to a suspension bridge mechanical model

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IMA Journal of Applied Mathematics
Year: 2002 | Volume: 67, Issue: 5 | Journal Article |
We study two systems of nonlinearly coupled ordinary differential equations that govern the vertical and torsional motions of a cross‐section of a suspension bridge. We observe numerically that the structure of the set of periodic solutions changes considerably when we smooth the nonlinear terms. The smoothed nonlinearities describe the force that we wish to model more realistically and the result...Show More

The global structure of periodic solutions to a suspension bridge mechanical model

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Year: 2002 | Volume: 67, Issue: 5 | Journal Article |
Deal with the definition of gear torsional mesh stiffness, the hub torsional deformation, tooth bending deformation and tooth surface contact deformation are computed under different torque, the torsional mesh stiffness is gained by the torsional angle deformation of gear pitch circle, the torsional mesh stiffness of single tooth and double teeth are compared, and the Fluctuation of stiffness unde...Show More
The Ic degradation behaviors of a YBCO coated conductor (CC) tape (RABiTS/MOD) was investigated using a sample holder which gives torsional angles to HTS tapes. The Ic degradation in YBCO CC tape under torsional strains occurred gradually which is a characteristic feature under torsion. Uniform torsional deformation was induced in the YBCO CC tape evident from the consistent Ic degradation behavio...Show More
The finite element analysis model of board-level circuit module solder joints is established, and the torsional load is applied to the stress simulation analysis. It is found that the maximum stress point of the board-level circuit appears on the QFP solder joint. The QFP solder joint is the research object, and the height, length and thickness of the QFP solder joint are the design variables. Tak...Show More
A new type of hybrid ultrasonic motors of stress-type using longitudinal and torsional vibration modes based on the d31 effect of PZT8 ceramics is developed. The torsional vibration was only excited in the stator and the longitudinal vibration was excited in the whole motor. The torsion was put out through the friction effect on the interface of the rotor and stator and exported by the axis of rot...Show More
A kind of stress type hybrid ultrasonic motor using longitudinal and torsional vibration modes (LTUM) was developed. Structure optimum designs were carried out to the stress-type LTUM. It was put forward that the longitudinal PZT should be placed on the end surface of the stator, and the operating mechanism of the motor was analyzed. The FEA software ANSYS was used to analyze the structure paramet...Show More
In this paper, a dynamic continuum modeling method is proposed to evaluate effective torsional structural properties of single-walled carbon nanotubes without any need to assume their fictitious wall thickness. The dynamic continuum modeling method has been developed based on the energy equivalence principle as well as on the molecular mechanics. The proposed dynamic continuum modeling method is a...Show More
Micromixers which have microchannels for mixing have advantages such as efficient mixing and high temperature controllability. However, microchannels are clogged and a mixing performance is degraded in such micromixer. Therefore, we have proposed a new cylindrical micromixer for the purpose of improving mixing performance by using an ultrasonic vibration. The micromixer oscillates channel plates i...Show More
This ANSYS was used to establish a coupled stress-strain analysis model of micro-scale CSP solder joints. The effects of solder joint material, solder joint diameter, pad diameter and solder joint height on torsional vibration coupling stress-strain of micro-scale CSP solder joint are analyzed. Under the torsional vibration combined loading condition, in the micro-scale CSP solder joint array, the...Show More
H-shaped hanger in arch bridge due to its high slenderness ratio and low torsional stiffness is prone to wind-induced torsional motion under low wind speed, thus leading to the fatigue problem at the flange of hanger near the hanger-to-beam connection. The available data is relatively limited to evaluate the fatigue behavior under torsional response of the H-shaped hanger. To assess the impact of ...Show More
The 3D finite element analysis model of QFN solder joints was established. The influence of various factors on the torsional stress and strain of QFN solder joints under the same torsional loading conditions was studied by single factor analysis. SAC305 solder joint materials were selected for solder joint materials and analyzed. The effect of the point length, the width of the solder joint and th...Show More
Permanent magnet (PM) synchronous motor (PMSM) has been widely applied in electric vehicles (EVs) due to its advantages of high efficiency and high power density. However, the torsional vibration generated by different torsional forces between the rotor and the load or between different rotor segments in the axial direction can significantly reduce the reliability and service life of the motor sys...Show More
More electric aircraft rely on electrical starter generators to start their engines and produce electricity once running. The aero engine will be connected to the starter generators via flexible shafts and gears, which will induce electro-mechanical interaction and torsional vibration in the mechanism. In the driving mode, sudden engine acceleration can cause torsional stresses, whereas in the gen...Show More
Previous research by the authors has demonstrated the efficacy of an ultrasonic bone biopsy device that operates in a longitudinal (L)mode. Ultrasonic longitudinal-torsional (L-T)coupled vibration has proven successful in several applications including ultrasonic surgical devices. In this work, an L-mode ultrasonic bone biopsy device was geometrically modified by introducing helical slits to degen...Show More
Torsional buckling and failure of carbon fiber/epoxy resin composite thin-walled tubes (CTWTs) were tested and analyzed, and the effects of torsional buckling on the material failure and failure loads were simulated by finite element method. In order to enhance the torsional bearing capacity of CTWTs, the buckling/failure of the tubes filled with polymer foam were further simulated by ABAQUS. Nume...Show More
In this paper, a load speed control method for a two-inertia system (TIS) is proposed, which includes a dynamic speed compensator (DSC) and a torsional torque feed-forward compensator (TTFC). Based on the torsional deformation characteristics, the DSC is employed for the compensation of load speed error, which can also estimate the torsional torque in real time without load-side encoder or torque ...Show More
The torsional vibration of the engine has an important impact on car's safety and ride comfort. Dual-mass flywheel, as a new type component of transmission system can reduce the engine output shaft's torsional vibration effectively. Based on the analysis of torsional vibration waveform, the paper proposes a detection method for DMF and brings forward a virtual instrument simulation test system usi...Show More
A Micro-electromechanical systems (MEMS) sensor with the variable cross-section micro-cantilever was designed to measure the fluid viscosity. Due to the quality factor of micro-cantilever under the torsional resonance is much higher than that under the first order flexural resonance, the fluid viscosity measuring accuracy under the torsional resonance is much higher. Then an exciting method named ...Show More
This paper presents a mitigation method for the torsional oscillations and stresses occurring in a cascaded set of 2 induction motors driving large mechanical load through elastic mechanical shafts. The idea of using cascaded induction motors connected through mechanical shaft sections can be used to drive a large mechanical load. The usage of such electromechanical system is popular in industrial...Show More

State modeling based prediction of torsional resonances for horizontal-axis drive train wind turbine

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IET Conference on Renewable Power Generation (RPG 2011)
Year: 2011 | Conference Paper |
Cited by: Papers (2)
This paper focuses on the state space modeling approach and output torques prediction of torsional vibrations for variable speed wind turbines. The multi-body system model under study is mainly comprised of a wind turbine, a three stage planetary gear box and an induction generator. The masses-springs approach of shaft system differential equations are developed from Newton's law and Lagrange form...Show More

State modeling based prediction of torsional resonances for horizontal-axis drive train wind turbine

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Year: 2011 | Conference Paper |
The lumped spring mass model should be used for studying turbine generator torsional vibration and subsynchronous resonance/oscillation (SSR/SSO). It is very important that the torsional stiffness should be calculated accurately. With the given inertia constants and natural modal frequencies, a simple calculation method of the torsional stiffness is proposed. The estimated eigenvectors of torsiona...Show More
This thesis mainly focuses on the torsional vibration in deep-hole boring, establishes a mechanical model and analyses the effect of the installation position on the torsional vibration, and the reasonable blade installation position was verified by the experiments.Show More

Spectral analysis connected with suspension bridge systems

IMA Journal of Applied Mathematics
Year: 2016 | Volume: 81, Issue: 1 | Journal Article |
In this paper, three dynamic linear models of the main span of suspension bridges are studied. The models describe vertical and torsional oscillations of the deck under the action of lateral wind. The problems correspond to the situations when both the midspan cable bands are loosened, both the midspan bands are fixed, and one midspan band is fixed and the other is loosened. Three corresponding ei...Show More

Spectral analysis connected with suspension bridge systems

Year: 2016 | Volume: 81, Issue: 1 | Journal Article |
The inverse problem of determining the unknown coefficient of the non-linear differential equation of torsional creep is studied. The unknown coefficient g = g(ξ2) depends on the gradient ξ: = |∇u| of the solution u(x), x ∈ Ω ⊂ Rn, of the direct problem. It is proved that this gradient is bounded in C-norm. This permits one to choose the natural class of admissible coefficients for the considered ...Show More
Based on the torsional tests to steel fiber concrete structures of different fiber volume fraction, this article did an analysis of the effect to failure model samples with different volume of steel fiber, and explored the incorporation of the torsion mechanism in the failure steel fiber. The tests results showed that: The incorporation of the steel of fiber significantly improved the mechanical p...Show More