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动态载荷时域识别的级数方法 总被引:21,自引:1,他引:21
以动力学基本理论为基础,推导出在实模态和复模态空间内载荷识别的级数系数平衡法,并以幂级数展开理论获得动态载荷识别的计算公式,将时域中的卷积关系近简化为一个线性关系。数值仿真计算表明,这种方法适用于各种正弦、三角等波形的时域载荷,尤其对在共振频率下的正弦激振力,利用其过渡响应可满意地进行识别。 相似文献
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连续系统动态载荷识别的时域方法 总被引:2,自引:1,他引:2
本文提出连续系统动态载荷识别的一种时域方法.通过适当变换,将问题归结为求解Volterra型第一类积分方程.在一定的载荷假设条件下,用插值函数将积分方程离散化,即可获得动态载荷时间历程或分布形式的时域识别计算模式.采用数值解法进行的仿真实例及实梁试验表明,方法是有效的. 相似文献
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对比例阻尼系统给出了基于精细逐步积分法的动态载荷识别方法.首先将系统进行模态坐标变换得到无耦合运动方程,然后应用精细逐步积分法构造一种高效精确的载荷识别公式,再由结构动态响应求出动态力的时间历程。数值算例验证了本方法的识别精度是好的。 相似文献
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两类载荷识别方程解的存在及唯一性 总被引:4,自引:0,他引:4
本文对载荷识别方程解的存在及唯一性进行了讨论,特别对随机载荷谱矩阵方程,证明了具有唯一的最小范数最小二乘解。这对载荷识别技术的应用具有普遍意义。 相似文献
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二维分布动载荷识别的频域方法 总被引:2,自引:0,他引:2
运用频域法在广义正交域中识别二维分布动载荷。基于数学拟合理论,二维动态载荷在广义正交域中可分解为二维正交函数的级数形式,未知的二维分布动载荷就可以表示为各阶正交基函数线性叠加,这时未知的复杂分布动载荷的识别就可以转化为简单的正交拟合系数的识别。根据线性系统的叠加原理,将待识别载荷的分解基函数看成已知分布动载荷作用于结构时,结构的响应与待识别载荷作用下结构的响应成线性关系。只要结构实测的响应点数大于待识别的系数,就能求出各系数,因而就可以识别分布动载荷。通过计算机仿真验证该方法能有效识别二维分布动载荷,且能与有限元方法结合,识别复杂结构上的分布动载荷。该方法具有很好的通用性,能简单方便运用于工程结构,能很好地抑制噪声的干扰。仿真试验说明该方法具有很好的识别精度。进一步的试验验证了该方法工程适用性。 相似文献
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具有连续分布梁模型动载荷的识别技术研究 总被引:6,自引:2,他引:6
用正交多项式拟合的方法对连续系统的分布动态载荷进行识别的技术,为用有限的测量信息进行连续系统分布载荷的识别提供了可行的方法。该方法只须获取足够的测量点的响应来识别分布载荷正交多项式的系数,满足识别的精度要求,同时对测量点的位置无特殊限制。实际工程中进行载荷识别时,很多结构只能测量到部分位置的响应,这时该方法能很好地解决这类问题。该方法对测量数据噪声的灵敏度较小,具有很好的抗干扰能力。通过计算机仿真,证明了该方法理论的正确性和工程应用的可行性。 相似文献
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吊车动态载荷识别研究 总被引:1,自引:0,他引:1
本文针对某工程结构可靠性鉴定工作,研究桥式吊车使用中对厂房的荷载作用;利用时程曲线差分改进动态载荷识别的时域法,识别实验测得的某等高多跨单层厂房吊车刹车时程曲线,结果与荷载规范符合较好.本文介绍的实验技术和分析方法,对于地震区复杂结构可靠性鉴定和制定荷载设计标准都有实用价值. 相似文献
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运载火箭动态载荷识别研究 总被引:6,自引:0,他引:6
取加速度测量自由度为结构模态归一化自由度的模态坐标,建立载荷识别的基本方程,在时域进行载荷识别.以识别出的载荷为激励力,计算结构动响应,将计算所得加速度和测量值在频域上进行比较,根据两者差异改进识别出的载荷的频域成份,并通过反变换获取最终时域的载荷识别结果.其中通过频域修正是算法的关键.本文单点激振单点测量的算法,已成功应用于运载火箭动态载荷识别的工程实践. 相似文献
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Charles B. Dawson Philip D. Cha 《International journal for numerical methods in engineering》2019,120(5):537-566
This paper presents an efficient algorithm for designing dynamical systems to exhibit a desired spectrum of eigenvalues. Focusing on combined systems of linear structures carrying various lumped element attachments, we apply the assumed-modes method and the implicit function theorem to derive analytical expressions for eigenvalue sensitivities, which are used to efficiently determine the minimal set of structural modifications needed to achieve a set of desired eigenvalues. The proposed algorithm employs an adaptive step size, performs significantly better than existing approaches, and can be easily applied to a broad range of structures. Convergence properties and limitations on achievable eigenvalues are also discussed, and a number of case studies demonstrating the performance of the algorithm in a wide variety of different applications are also included. 相似文献
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Nenad Bicanic Hua-Peng Chen 《International journal for numerical methods in engineering》1997,40(23):4451-4468
A novel procedure for damage identification of framed structures is proposed, where both the location and the extent of structural damage in framed structures can be correctly determined using only a limited number of measured natural frequencies. No knowledge of the modal shapes of the damaged structure is required. On the basis of the characteristic equations for the original and the damaged structure, a set of equations is generated. Two computational techniques, the direct iteration (DI) technique and the Gauss–Newton least-squares (GNLS) technique, are utilized to determine structural damage from the derived equations. Finally, different numerical examples are used to demonstrate the effectiveness of the proposed method. © 1997 John Wiley & Sons, Ltd. 相似文献
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结构静力问题的重特征值灵敏度分析 总被引:4,自引:0,他引:4
静力学中的结构设计,模型修正和优化等问题都属于矩阵逆特征值问题,解决这类问题的关键是求出特征值和特征向量关于设计参数的灵敏度,本文基于多元函数论和代数反问题理论,得到了具有重特征值情形的结构灵敏度解的形式,并给出了相应的计算实例。 相似文献
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R. A. Biaecki E. Divo A. J. Kassab R. Ait Maalem Lahcen 《International journal for numerical methods in engineering》2003,57(2):143-167
A technique of explicit calculation of sensitivity coefficients based on the approximation of the retrieved function by a linear combination of trial functions of compact support is presented. The method is applicable to steady state and transient linear inverse problems where unknown distributions of boundary fluxes, temperatures, initial conditions or source terms are retrieved. The sensitivity coefficients are obtained by solving a sequence of boundary value problems with boundary conditions and source term being homogeneous except for one term. This inhomogeneous term is taken as subsequent trial functions. Depending on the type of the retrieved function, it may appear on boundary conditions (Dirichlet or Neumann), initial conditions or the source term. Commercial software and analytic techniques can be used to solve this sequence of boundary value problems producing the required sensitivity coefficients. The choice of the approximating functions guarantees a filtration of the high frequency errors. Several numerical examples are included where the sensitivity coefficients are used to retrieve the unknown values of boundary fluxes in transient state and volumetric sources. Analytic, boundary‐element and finite‐element techniques are employed in the study. Copyright © 2003 John Wiley & Sons, Ltd. 相似文献
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We analyze the accuracy of estimation of structural component material properties (elastic modulus, Poisson’s ratio, density,
etc.) using the technique for measuring the eigenfrequencies of oscillations. The accuracy of frequency estimation using the
Fourier method and its influence on the final result are evaluated. Relationships between the errors in the frequency estimation
and those in the identified parameters are derived using the metamodel method. Application of the method is illustrated by
the example of a shell element with a stiffening rib.
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Translated from Problemy Prochnosti, No. 4, pp. 140–147, July–August, 2006. 相似文献
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Qiaofeng Li Qiuhai Lu 《International journal for numerical methods in engineering》2019,118(7):411-431
Time domain force identification problems are generally ill-posed. Regularization techniques are widely adopted to well-condition the problem. Traditional regularization such as Tikhonov regularization is mathematically equivalent to assuming a zero-mean prior distribution on the unknown force. This assumption could be unreasonable for problems where notable trend components exist in force histories, such as vehicle-bridge moving force identification and cutting tool force identification. In this paper, a revised method is proposed to address this issue. The proposed method formulates the force identification problem within the Bayesian framework. The trend components are considered as low-order polynomials and as the mean term in the prior distribution of the force history. The joint maximum a posterior estimate of unknown variables is derived. The solution algorithm is given based on conditional maximization. A mass-spring system and a cutting tool under forces containing various types of trend components and vehicle-bridge systems under moving interaction forces are simulated to validate the proposed method. 相似文献
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将载荷辨识技术应用于脉冲燃烧风洞模型测力。用子结构综合法建立了测力试验系统的动力学模型,在时域内将动力学方程进行离散,建立起天平测量信号与模型气动载荷历程之间的线性关系,作为载荷辨识的模型。采用Tikhonov正则化和子空间投影法相结合的混合正则化方法,将高维的、不适定的载荷辨识问题转化为低维的适定问题,以利于快速求解。提出了一种新方法来确定合适的投影子空间维数,然后应用L曲线准则来寻找低维正则化问题的最优正则化参数。最后通过算例验证了系统建模方法的精度和载荷辨识算法的有效性与稳定性。 相似文献
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Rafael Gallego Javier Surez 《International journal for numerical methods in engineering》2000,49(4):501-518
In this paper a procedure to solve the identification inverse problems for two‐dimensional potential fields is presented. The procedure relies on a boundary integral equation (BIE) for the variations of the potential, flux, and geometry. This equation is a linearization of the regular BIE for small changes in the geometry. The aim in the identification inverse problems is to find an unknown part of the boundary of the domain, usually an internal flaw, using experimental measurements as additional information. In this paper this problem is solved without resorting to a minimization of a functional, but by an iterative algorithm which alternately solves the regular BIE and the variation BIE. The variation of the geometry of the flaw is modelled by a virtual strainfield, which allows for greater flexibility in the shape of the assumed flaw. Several numerical examples demonstrate the effectiveness and reliability of the proposed approach. Copyright © 2000 John Wiley & Sons, Ltd. 相似文献
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高层建筑损伤识别中的补偿算法 总被引:6,自引:3,他引:6
本文在已有研究工作的基础上,提出了处理激励测量信息不完备情况下的补偿算法。此方法主要针对高层建筑动力检测中强迫激励的情况,是一种基于时域的识别方法,该方法实际上是利用客观工程实际中结构系统激励所具有的物理持征作为识别计算的辅助条件,来解决测量信息的不完备性问题。算例分析表明了该方法的可行性。 相似文献
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In this paper a new boundary element formulation is presented for the identification of the location and size of internal cracks in two dimensional structures. The method is presented, as a supplement to the experimental non-destructive testing (NDT) methods, for more accuracy in the identification procedure. The identification method is presented, proposing the dual boundary element method (DBEM) as the basis for design sensitivity computation. Examples are presented to demonstrate the performance of the crack identification method for various cracks. 相似文献