区间不确定性结构表面分布随机动载荷识别

DISTRIBUTED RANDOM DYNAMIC LOAD IDENTIFICATION ON THE SURFACE OF A STRUCTURE WITH INTERVAL UNCERTAINTY

  • 摘要: 针对不确定性结构表面分布随机动载荷识别问题,将不确定参数描述为区间变量,提出了一种不确定性结构上分布随机动载荷识别新方法。该方法将载荷功率谱密度函数表示为二维勒让德多项式与其对应系数相乘的叠加形式,进而由结构应变功率谱密度函数和区间扩张理论识别载荷模型中二维勒让德多项式系数上下界,最后由识别系数重构随机动载荷功率谱密度的区间界值。通过四边简支板算例验证了方法的正确性,并将该方法应用于舵结构表面的湍流边界层载荷识别。结果表明:该方法识别得到的功率谱密度函数区间界值能够完全包含载荷真值,可以用于飞行器结构表面真实随机脉动压力载荷识别,为飞行器结构设计提供真实可靠的载荷信息。

     

    Abstract: Aiming at the distributed random dynamic load identification problem on the surface of uncertain structures, a new method for identifying distributed random loads on uncertain structures is proposed where uncertain parameters are described by interval variables. The load’s power spectral density function is represented by a superposition of 2D Legendre polynomials multiplying with their corresponding coefficients in this method, then the upper and lower bounds of the 2D Legendre polynomial coefficients in the load model are further identified by the power spectral density function of the structural strain by using the interval expansion theory, and the interval boundary values of the load’s power spectral density can finally be reconstructed by the identified coefficients. The correctness of the method is verified by a numerical example on a four-sided simply-supported plate, the method is further applied on the identification of a turbulent boundary layer loading on a rudder structure. Identification results show that the interval boundary value of the identified power spectral density function can fully cover the true load value, and that the method is capable of identifying the real random fluctuating pressure load on the surface of aircraft structures, which can provide real and reliable load information for the structural design of aircraft.

     

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