Efficient dynamic focus control for three-dimensional imaging using two-dimensional arrays

An efficient dynamic focus control scheme for a delay-and-sum-based beamformer is proposed. The scheme simplifies dynamic focus control by exploiting the range-dependent characteristics of the focusing delay. Specifically, the overall delay is divided into a range-independent steering term and a range-dependent focusing term. Because the focusing term is inversely proportional to range, approximation can be made to simplify dynamic focus control significantly at the price of minimal degradation in focusing quality at shallow depths. In addition, the aperture growth controlled by a constant f//sub number/ can also be utilized to devise a nonuniform quantization scheme for the focusing delay values. Efficacy of the proposed scheme is demonstrated using simulated beam plots of a fully sampled, two-dimensional array. Design procedures are also described in detail. One design example shows that, with the proposed dynamic focus control scheme, a 4096-element array only requires 227 independent controllers for the range-dependent focusing term. Moreover, only 28 non-uniform quantization levels are required to achieve the same focusing quality as that of a conventional scheme with 784 uniform quantization levels. The beam plots of a fully sampled array show that sidelobes are slightly increased below the -30 dB level for imaging depths less than 3 cm. At greater depths, there is no observable degradation.     

人-桥竖向耦合振动计算方法

为了分析轻质人行桥的人-桥竖向耦合振动,建立了基于双脚支撑人体计算模型的人-桥耦合振动方程。根据行人在刚性地面行走时的步伐荷载计算结果与文献给出的步伐荷载时程曲线对比,验证了双脚支撑人体计算模型能较好模拟行人的脚步力特性。以一座跨度22.8m、第一阶竖弯自振频率7.23Hz的铝合金人行桥为例,运用Monte Carlo法模拟人群的步行参数,形成不同密度人群过桥的随机工况,并用直接积分法计算了考虑人群-桥竖向耦合振动的铝合金人行桥动力响应。计算结果表明,当人群密度较大时,考虑人桥耦合的人致振动卓越频率趋于分散,其振动响应明显小于不考虑耦合影响的计算结果。     

Active vibration control of an arbitrary thick smart cylindrical panel with optimally placed piezoelectric sensor/actuator pairs

Active vibration suppression of a simply supported, arbitrarily thick, transversely isotropic circular cylindrical host panel, integrated with spatially distributed piezoelectric actuator and sensor layers, is investigated based on the linear three dimensional exact piezo-elasticity theory. To assist control system design, system identification is conducted by applying a frequency domain subspace approximation method based on N4SID algorithm using the first few structural modes of the system. The state space model is constructed from system identification and used for state estimation and development of control algorithm. The optimal electrode configuration for the collocated piezoelectric actuator–sensor pair is found by applying a genetic optimization procedure based on maximization of a quantifiable objective function considering the controllability, observability and spillover prevention of the identified system. A linear quadratic Gaussian (LQG) optimal controller is subsequently designed and simulated based on the identified model of optimally configured smart structure in order to actively control the system response in both frequency and time domains. The dynamic performance and effectiveness of the optimized vibration control system is demonstrated for two different types of external mechanical excitations (i.e., impulsive load and white noise disturbance). The accuracy of dynamic analysis is established with the aid of a commercial finite element package and the data available in the literature.     

Calculating the pulsed response of linear arrays: accuracy versuscomputational efficiency

The accuracy and computational efficiency of different methods for calculating the field profile from linear arrays are examined. Specifically, various approximations used for time and frequency domain solutions are studied and compared to the exact time domain impulse response method, which is taken to be the “gold standard”. The accuracy is measured in terms of the error in the 6 dB spatial resolution, whereas the efficiency is represented by the normalized computation time. The results demonstrate that in the frequency domain the Fresnel approximation yields accurate results (errors <1%) for the unsteered array, but that the accuracy degrades with increasing steering angles (>10°). It is also shown that, in general, this method is computationally more efficient as compared with the exact method since the efficiency of the latter depends highly on the field point location and array geometry     

Validity of weak-scattering models in forward two-dimensional optical scattering

The exact solution for scattering from cylindrical objects is compared with the following weak-scattering models: the first Born approximation, the Rytov approximation, the straight-ray model of geometric optics, and ray tracing. Computer calculations of the various approximate and the exact virtual fields at the center of a transparent cylinder are compared in order to find the practical limitations of the various approximations with respect to cylinder radii and indices of refraction. It is found that the Rytov approximation introduces a phase error that increases linearly with the cylinder radius. The straightray model yields better results than the first Rytov approximation for all cylinder radii and real indices of refraction, even at the edges. The first Born approximation is best for cylinders with radii less than a wavelength.     

Time-reversal of ultrasonic fields. III. Theory of the closed time-reversal cavity

For pt.II see ibid., vol.39, no.5, p.567-78 (1992). A theoretical model for time-reversal cavities to optimize focusing in homogeneous and inhomogeneous media is described. The concept of the cavity can be understood as the most realistic approximation to an exact three-dimensional (3-D) time-reversal of ultrasonic fields; it is also a generalization of the time-reversal mirrors realized experimentally in the laboratory. The proposed method is based on an approach in the transient regime that is more general than the monochromatic formalism used in optics to analyze the phase conjugation mirrors efficiency. This method uses impulse diffraction theory to obtain the impulse response of the cavity in any inhomogeneous medium. An original interpretation of the limitations due to diffraction observed in wave field propagation in terms of the different waves generated inside the cavity is also proposed. The time-reversal focusing process using a closed cavity in a weakly inhomogeneous medium is compared with more classical techniques to compensate wavefront distortions, thus illustrating the focusing improvement due to the time-reversal method.     

The influences of ambiguity phase aberration profiles on focusing quality in the very near field part II: dynamic range focusing on reception

For pt. I see ibid., vol. 49, no. 1, p. 57-71 (2002). The influences of ambiguity phase aberration profiles, including constant, tilted, and quadratic profiles, on focusing quality have been quantitatively analyzed with the very near field approximation for single range focusing on transmission. In this paper, their influences are analyzed in a very different situation: dynamic range focusing on reception, which is commonly used in medical ultrasound imaging for beam formation on reception. It is shown that the results for dynamic range focusing on reception are dramatically different from those for single range focusing on transmission. For example, constant phase aberration profiles are harmless to focusing quality for single range focusing on transmission but become harmful for dynamic range focusing on reception. The analysis also shows that, compared with single range focusing on transmission, dynamic range focusing on reception is much more sensitive to ambiguity phase aberration profiles, which have adverse effects on focusing quality even in the near field and far field. These significant differences are caused by the fundamental differences between single range focusing and dynamic range focusing as well as between transmission and reception. Numerical and simulation results are also derived to test the correctness and accuracy of the theoretical results     

开放系统悬臂类结构的动力特性计算方法

结构总是修建在一定的场地而形成土-结构相互作用的开放系统。为解决开放体系下悬臂类结构的自振频率、振型和考虑辐射阻尼下模态阻尼比的计算问题,提出了脉冲荷载响应模态分析法。该方法采用直接有限元法建立土-结构相互作用有限元模型,对结构施加脉冲荷载得到结构动力反应后,由模态识别方法计算结构的动力特性。随后,以一个悬臂类五层框架结构为例研究了计算动力特性随土体计算范围变化的规律和脉冲荷载激励点位置对计算结果的影响。在此基础上,讨论了土体材料阻尼对模态阻尼比的影响,并与集总参数模型和直接模态分析法进行对比,说明不同方法的计算精度。计算结果表明,随着土域计算范围的增加,脉冲荷载响应模态分析法所得的动力特性将逐渐收敛到精确解;当土体计算范围大于结构基频所对应的波长的2倍时,结构自振频率的误差小于1%,模态阻尼比的误差小于5%;以非模态节点作为激励点都可以得到比较精确的结果;三参数集总参数模型所得模态阻尼比存在显著误差,直接模态分析法所得模型的基频随土域范围增大而趋向于零;相比于辐射阻尼,土体材料阻尼对结构的各阶模态阻尼比的影响较小。     

Comparison of high‐order curved finite elements

Several finite element techniques used in domains with curved boundaries are discussed and compared, with particular emphasis in two issues: the exact boundary representation of the domain and the consistency of the approximation. The influence of the number of integration points on the accuracy of the computation is also studied. Two‐dimensional numerical examples, solved with continuous and discontinuous Galerkin formulations, are used to test and compare all these methodologies. In every example shown, the recently proposed NURBS‐enhanced finite element method (NEFEM) provides the maximum accuracy for a given spatial discretization, at least one order of magnitude more accurate than classical isoparametric finite element method (FEM). Moreover, NEFEM outperforms Cartesian FEM and p‐FEM, stressing the importance of the geometrical model as well as the relevance of a consistent approximation in finite element simulations. Copyright © 2011 John Wiley & Sons, Ltd.     

光脉冲在半导体光放大器中传输理论模型的改进

阐明了在研究半导体光放大器对光脉冲放大这一动态过程中通常采用常数载流子寿命近似这一处理方法是不理的。通过考虑放大器中载流子的实际复合机制，数值模拟了脉冲数据流通过放大器后脉冲的时域分布，并与采用常数载流子寿命近似所得的结果进行了比较。结果表明，二者具有明显的差异。     

Elastic wave propagation in a functionally graded nanocomposite reinforced by carbon nanotubes employing meshless local integral equations (LIEs)

The transient dynamic analysis of displacement field and elastic wave propagation in finite length functionally graded nanocomposite reinforced by carbon nanotubes are carried out using local integral equations (LIEs) based on meshless local Petrov–Galerkin (MLPG) method. The distribution of the aligned carbon nanotubes (CNTs) is assumed to vary as three kinds of functionally graded distributions as well as uniform distribution (UD) through radial direction of axisymmetric reinforced cylindrical composites. The mechanical properties are simulated using a micro-mechanical model in volume fraction form. A unit step function is used as a test function in the local weak form, which leads to local integral equations (LIEs). The analyzed domain is divided into small subdomains with a circular shape. The radial basis functions are used for approximation of the spatial variation of field variables. For treatment of time variations, the Laplace-transform technique is utilized. The 2D propagation of elastic waves through 2D domain is illustrated for various kinds of carbon nanotubes distributions. The time histories of displacement fields are studied in detail for various kinds of carbon nanotube distributions in reinforced cylindrical composites.     

Convergence study of 2D forward problem of electrical impedance tomography with high-order finite elements

A convergence study of the forward problem of electrical impedance tomography is performed using triangular high-order piecewise polynomial finite-element methods (p-FEM) on a square domain. The computation of p-FEM for the complete electrode model (CEM) is outlined and a novel analytic solution to the CEM on a square domain is presented. Errors as a function of mesh-refinement and computational time, as well as convergence rates as a function of contact impedance, are computed numerically for different polynomial approximation orders. It is demonstrated that p-FEM can generate more accurate forward solutions in less computational time, which implies more accurate simulated interior potentials, electrode voltages and conductivity Jacobians.     

基于系统相似方法的叠堆型压电驱动器非线性动力学建模及实验研究

根据机械系统与电气系统的相似方法,将叠堆型压电驱动器的非线性电-机械耦合模型完全转换到电气域内,建立了其非线性相似电路模型;给出了非线性相似电路模型中迟滞因子的辨识方法,并对某款商用叠堆型压电驱动器进行了迟滞因子的辨识试验;基于非线性相似电路模型和迟滞因子的辨识结果,对该款叠堆型压电驱动器的非线性特性进行了仿真分析,得到了其非线性位移迟滞回线;仿真结果与试验结果吻合,证明了该建模过程与辨识方法的正确性。该建模方法在电气域内对叠堆型压电驱动器电-机械耦合特性及非线性迟滞特性进行描述,建模过程物理意义清晰且简单实用,对于研究压电驱动器的动态特性及控制算法具有实际意义。     

The focusing of surface-acoustic-waves launched from a slanted chirped transducer. I. Isotropic substrate

The focusing behavior of surface acoustic waves launched from a slanted chirped transducer (SCT) is explored using both a continuum model and a discrete model for sources associated with a linear FM chirp transducer on a substrate with isotropic properties. The continuum model leads to the prediction of an understanding of effects that would arise in the radiation field of an SCT on an isotropic substrate. It is based on a representation of the transducer as a continuum of sources, with the radiation field determined by applying the stationary phase method, and is presented for infinitesimally short fingers. It is compared with a more direct and exact but less revealing method of determining the field based on a discrete array of sources. The effects of increasing finger lengths are considered. The results are related to the focusing of radiation by a lens.     

Raw signal processing of stripmap bistatic synthetic aperture radar

Under the translational invariant (TI) configuration of stripmap imaging bistatic synthetic aperture radar (BISAR), the frequency domain expression of signal model is developed. Two forms, with an approximation of extracting the range dependence and an accurate iterative solution, as well as their respective focusing methods, that is the approximated solution method and the iterative solution method are presented here. The range-Doppler method is extended to the TI configuration of BISAR. Imaging simulation of the point targets and comparison with the bistatic backprojection method shows the feasibility of these methods as well as their merits and demerits.     

Some Tests for Variance Components Using Generalized p Values

The concept of a generalized p value, introduced by Tsui and Weerahandi, is applied for testing hypotheses in two situations, testing the significance of a variance component in a general balanced mixed model when an exact F test does not exist and comparing randomeffects variance components in two independent balanced mixed models. Extensions to the unbalanced cases are also indicated. The proposed test is compared with the test based on the Satterthwaite approximation through their simulated Type I error probabilities. The simulations indicate that the test based on the generalized p value hasType I error probabilities less than the chosen significance level most of the time, whereas the Type I error probabilities of the Satterthwaite approximate test can be much larger than the significance level. The results are illustrated using two examples.     

Explicit finite element artificial boundary scheme for transient scalar waves in two‐dimensional unbounded waveguide

To simulate the transient scalar wave propagation in a two‐dimensional unbounded waveguide, an explicit finite element artificial boundary scheme is proposed, which couples the standard dynamic finite element method for complex near field and a high‐order accurate artificial boundary condition (ABC) for simple far field. An exact dynamic‐stiffness ABC that is global in space and time is constructed. A temporal localization method is developed, which consists of the rational function approximation in the frequency domain and the auxiliary variable realization into time domain. This method is applied to the dynamic‐stiffness ABC to result in a high‐order accurate ABC that is local in time but global in space. By discretizing the high‐order accurate ABC along artificial boundary and coupling the result with the standard lumped‐mass finite element equation of near field, a coupled dynamic equation is obtained, which is a symmetric system of purely second‐order ordinary differential equations in time with the diagonal mass and non‐diagonal damping matrices. A new explicit time integration algorithm in structural dynamics is used to solve this equation. Numerical examples are given to demonstrate the effectiveness of the proposed scheme. Copyright © 2011 John Wiley & Sons, Ltd.     

力传感器的动态重复性,线性度与性能改进的研究

提出了传感器的动态重复性与动态线性度的计算方法，介绍了用有源模拟滤波器改善力传感器动态性能的方法，包括力传感器动态数学模型、动态补偿模拟滤波的设计方法、力传感器动态模拟器及其电路、滤波器的电路、动态性能改善的实验结果。     

Recent developments on the Kardar-Parisi-Zhang surface-growth equation

The stochastic nonlinear partial differential equation known as the Kardar-Parisi-Zhang (KPZ) equation is a highly successful phenomenological mesoscopic model of surface and interface growth processes. Its suitability for analytical work, its explicit symmetries and its prediction of an exact dynamic scaling relation for a one-dimensional substratum led people to adopt it as a 'standard' model in the field during the last quarter of a century. At the same time, several conjectures deserving closer scrutiny were established as dogmas throughout the community. Among these, we find the beliefs that 'genuine' non-equilibrium processes are non-variational in essence, and that the exactness of the dynamic scaling relation owes its existence to a Galilean symmetry. Additionally, the equivalence among planar and radial interface profiles has been generally assumed in the literature throughout the years. Here--among other topics--we introduce a variational formulation of the KPZ equation, remark on the importance of consistency in discretization and challenge the mainstream view on the necessity for scaling of both Galilean symmetry and the one-dimensional fluctuation-dissipation theorem. We also derive the KPZ equation on a growing domain as a first approximation to radial growth, and outline the differences with respect to the classical case that arises in this new situation.     

Transformation of dynamic loads into equivalent static loads based on modal analysis

All the forces in the real‐world act dynamically on structures. Since dynamic loads are extremely difficult to handle in analysis and design, static loads are usually utilized with dynamic factors. Static loads are especially exploited well in structural optimization where many analyses are carried out. However, the dynamic factors are not determined logically. Therefore, structural engineers often come up with unreliable solutions. An analytical method based on modal analysis is proposed for the transformation of dynamic loads into Equivalent Static Loads (ESLs). The ESLs are calculated to generate an identical displacement field with that from dynamic loads at a certain time. The process is derived and evaluated mathematically by using the modal analysis. Since the exact solution is extremely expensive, some approximation methods are proposed. Error analyses have been conducted for the approximation methods. Standard examples for structural design are selected and solved by the proposed method. Applications of the method to structural optimization are discussed. Copyright © John Wiley & Sons, Ltd.