本文選題：杜哈梅積分　切入點(diǎn)：載荷識(shí)別　出處：《應(yīng)用力學(xué)學(xué)報(bào)》2017年02期

【摘要】：某結(jié)構(gòu)在試驗(yàn)中,經(jīng)歷了持續(xù)時(shí)間很短的出水過(guò)程,試驗(yàn)中獲得了該狀態(tài)下關(guān)鍵位置響應(yīng)的時(shí)間歷程,需進(jìn)行結(jié)構(gòu)試驗(yàn)環(huán)境適應(yīng)性分析。本文將杜哈梅卷積積分離散化,推導(dǎo)了時(shí)域內(nèi)載荷與響應(yīng)之間的傳遞函數(shù)矩陣;基于該傳遞矩陣的逆運(yùn)算發(fā)展了一種時(shí)域內(nèi)載荷識(shí)別方法,該方法在數(shù)值仿真過(guò)程中往往出現(xiàn)累計(jì)誤差過(guò)大導(dǎo)致不收斂的現(xiàn)象,研究分析發(fā)現(xiàn)這屬于反問(wèn)題中典型的不適定性問(wèn)題,并采用最速下降法有效克服了該不適定性問(wèn)題;同時(shí)還考察了該算法在不同信噪比下的識(shí)別精度。研究結(jié)果表明,正弦、隨機(jī)、半正弦沖擊等多種載荷均獲得了較準(zhǔn)確的識(shí)別結(jié)果。本文提出的方法便于復(fù)雜工程結(jié)構(gòu)有限元模型的應(yīng)用。
[Abstract]:In the test, a certain structure experienced a short duration of effluent process, and the time course of the key position response was obtained in the test, so the adaptability analysis of the structure test environment was needed.In this paper, the Duhamet convolution integral is discretized, the transfer function matrix between load and response in time domain is derived, and a method of load identification in time domain is developed based on the inverse operation of the transfer matrix.In the process of numerical simulation, this method often has the phenomenon that the accumulated error is too large and leads to no convergence. The research and analysis show that this is a typical ill-posed problem in the inverse problem, and the steepest descent method is used to overcome the ill-posed problem effectively.At the same time, the recognition accuracy of the algorithm in different signal-to-noise ratio (SNR) is also investigated.The results show that the identification results of sinusoidal, random and semi-sinusoidal loads are more accurate.The method presented in this paper is convenient for the application of finite element model of complex engineering structures.
【作者單位】： 中國(guó)工程物理研究院總體工程研究所;
【基金】：國(guó)家自然科學(xué)基金(11302207;11472256) 中國(guó)工程物理研究院院長(zhǎng)基金(YZ2015011)
【分類號(hào)】：TB115

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本文編號(hào)：1711694