Vibration of higher-order-shearable pretwisted rotating composite blades

The free and forced vibration of a rotating, pretwisted blade modeled as a laminated composite, hollow (single celled), uniform box-beam is studied. The structural model includes transverse shear flexibility, restrained warping, and centrifugal and Coriolis effects. A key element of this model is its ability to satisfy the zero shear–traction requirement on the external bounding surfaces. The governing system possesses complicated and eigenvalue-dependent natural boundary conditions. Hence an extended Galerkin method using admissible functions is employed. Free-vibration results obtained for the present higher-order shearable model are compared with those of the existing first-order shearable and the non-shearable models. For the data considered, the present theory provides conservative predictions. This suggests that through-the-thickness variations of transverse shear strains are significant and should be considered when pursuing non-resonant designs. The effect of pretwist, while marginal for the lowest eigenfrequency, is substantial for the higher ones especially for lower rotation speeds and larger ply angles. A combination of softening and stiffening effects are also possible for the same eigenfrequency when pretwist is varied. Tailoring studies using the present model show an enhancement of eigenfrequency characteristics and also reveal the potential for passive mitigation of forced response.     

C–H···O hydrogen bonding in crystals

An overview is given on C–H···O hydrogen bonding in the solid state. Following a short survey of the early literature, the general properties of C–H···O bonding are discussed. The structural characteristics and some physical consequences of C–H···O bonds are described. A number of special systems are discussed in greater detail; these include water acceptors, inclusion complexes, and some biological structures.     

Tolerance modelling of vibrations of thin functionally graded plates

A problem of a modelling of vibrations of thin plates with a functionally graded macrostructure and a tolerance-periodic microstructure in planes parallel to the plate midplane is analysed. The proposed model, based on the Kirchhoff plate theory assumptions and additional hypothesis of the tolerance averaging technique [Wo?niak et al., editors. Thermomechanics of heterogeneous solids and structures. Tolerance averaging approach. ?ód?, University Press, Technical University of ?ód?; 2008], describes the effect of the microstructure size on dynamic behaviour of the plate. In this paper, as an example there are analysed free vibration frequencies of a functionally graded plate band. These frequencies are obtained in the framework of two proposed models—the tolerance model and the asymptotic model, using the known Ritz method.     

On the Stability of Self-Balancing of a Rotor with the Help of Balls

We analyze the stability of the process of self-balancing of a rotor with the help of balls depending on the parameters of the rotor and self-balancer, deduce approximate expressions for the roots of the characteristic equation, and study the characteristic features of the frequency spectrum of vibrations. The accumulated results make it possible to establish quantitative estimates for the boundaries of the stability region. We also present recommendations aimed at guaranteeing the required stability and efficiency of the process of self-balancing.     

一种悬臂压电发电机的研究

简述了悬臂式PZT-金属复合结构在力作用下产生电荷的机理,设计并制备了一种压电式发电机,构建了试验平台,进行了器件弯曲振动时电能输出效果的实验研究。实验时,进行单频的稳态正弦激振实验:由激振器产生输出正弦激振力,作用于器件端部使其产生弯曲振动。结果表明,在所给的实验条件下,使用研制的器件实现了对弯曲振动能量的转换,输出电功率88.8μW。     

Circuit analog of a beam and its application to multimodal vibration damping,using piezoelectric transducers

In this paper we solve the synthesis problem of finding a completely passive electric circuit analog to a vibrating beam. The synthesis problem is of interest when one wants to suppress beam mechanical vibrations by using distributed piezoelectric transduction. Indeed, an effective electromechanical energy transduction is guaranteed when the electric circuit (interconnecting the transducers' terminals) is resonant at all mechanical resonance frequencies and is able to mimic all the mechanical modal shapes. The designed electric circuit behaves as an electric controller of mechanical vibrations (i.e. an electric vibration damper) once suitably endowed with a set of resistors. Because of its completely passive nature, it does not require external power units and stands as an economical means of controlling vibrations. Copyright © 2004 John Wiley & Sons, Ltd.     

A nonlinear analytical model for the squeeze-film dynamics of parallel plates subjected to axial flow

In this paper, we develop a theoretical model to predict the nonlinear fluid-structure interaction forces and the dynamics of parallel vibrating plates subjected to an axial gap flow. The gap is assumed small, when compared to the plate dimensions, the plate width being much larger than the length, so that the simplifying assumptions of 1D bulk-flow models are adequate. We thus develop a simplified theoretical squeeze-film formulation, which includes both the distributed and singular dissipative flow terms. This model is suitable for performing effective time-domain numerical simulations of vibrating systems which are coupled by the nonlinear unsteady flow forces, for instance the vibro-impact dynamics of plates with fluid gap interfaces. A linearized version of the flow model is also presented and discussed, which is appropriate for studying the complex modes and linear stability of flow/structure coupled systems as a function of the average axial gap velocity. Two applications of our formulation are presented: (1) first we study how an axial flow modifies the rigid-body motion of immersed plates falling under gravity; (2) then we compute the dynamical behavior of an immersed oscillating plate as a function of the axial gap flow velocity. Linear stability plots of oscillating plates are shown, as a function of the average fluid gap and of the axial flow velocity, for various scenarios of the loss terms. These results highlight the conditions leading to either the divergence or flutter instabilities. Numerical simulations of the nonlinear flow/structure dynamical responses are also presented, for both stable and unstable regimes. This work is of interest to a large body of real-life problems, for instance the dynamics of nuclear spent fuel racks immersed in a pool when subjected to seismic excitations, or the self-excited vibro-impact motions of valve-like components under axial flows.     

高超声速巡航飞行器振动建模及精细姿态控制

为保证超燃冲压发动机的良好进气环境,需要对高超声速巡航飞行器进行精细姿态控制,但弹性振动大大提高了精细姿态控制的设计难度。以高超声速巡航飞行器的纵向通道为例,文章分析弹性振动对飞行控制系统的影响,建立高超声速巡航飞行器的弹性模型,将精细姿态控制问题简化为超燃冲压发动机进气口当地攻角的精细控制问题,考虑机体/发动机耦合和气动热造成了气动参数和模态参数大范围摄动问题,基于H∞理论设计鲁棒控制系统。仿真表明,在考虑测量噪声、舵机非线性、参数大范围摄动的情况下仍然能够很好地跟踪刚体攻角,抑制弹性攻角,保证进气口当地攻角±0.6°的控制精度,满足高超声速飞行器精细姿态控制的要求。     

A single-magnet nonlinear piezoelectric converter for enhanced energy harvesting from random vibrations

Power harvesters from mechanical vibrations are commonly linear mechanical resonators that are most effective when excited at resonance. Differently, under wideband vibrations, linear converters are suboptimal. A nonlinear converter is here proposed that implements nonlinearity and bistability by employing a single external magnet, in order to improve conversion effectiveness while simplifying device fabrication. The converter is composed of a piezoelectric bimorph on a ferromagnetic cantilever. The fabrication technology is based on the screen printing of a PZT low-curing-temperature paste on harmonic steel substrate. The ferromagnetic cantilever converter, under proper coupling with the external magnet, bounces between two stable states when excited by random vibrations and generates an electric output via the piezoelectric effect. According to theoretical predictions, when bistable behaviour is present, experimental results demonstrate an improvement of about 400% of the rms voltage generated by the converter with respect to the linear case.     

Modelling the vibration response of a gas turbine using machine learning

This work deals with modelling the vibration response of a gas turbine obtained during the start-up process until reaching the nominal speed for power generation. Analysing the vibrations of a complex systems like a gas turbine is useful for the diagnostic of faults or damages in the internal mechanical components of the different stages that integrate a turbine. This work focuses on the study of the shaft vibrations of the bearing radial type mounted between the shaft and the bearing compressor associated with the speed of the turbine. This relationship is studied using experimental data collected from a particular gas turbine model. In particular, we propose a methodology to synthesize a computational model following a supervised learning approach implemented through different machine learning techniques, including a multi-layers perceptron network, support vector machine (SVM), random forest (RF) and genetic programming (GP) with local search. Results show that SVM, RF and GP perform very well in this task, producing accurate predictive models. Moreover, there are some interesting trade-offs between the methods, regarding generalization error, overfitting and model interpretability that are relevant for future applications and research.