非线性摩擦失谐的叶盘系统振动响应特性研究
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摘要
全文以失谐叶盘系统振动局部化导致叶片高周循环疲劳破坏的工程技术问题为研究背景,在分析现有失谐叶盘系统振动局部化基本理论不足的基础上,针对其难点之一非线性摩擦失谐的叶盘系统振动局部化问题进行了系统研究。
针对现有文献建立的含非线性摩擦失谐叶盘系统模型相对简单的情况,根据工程实际中叶盘系统摩擦阻尼件的摩擦机理,建立了更接近实际的非线性摩擦失谐的叶盘系统力学模型,从而能更精确地分析失谐叶盘系统振动响应特性。
基于建立的非线性摩擦失谐的叶盘系统模型,推导出了增量谐波平衡法(Incremental harmonic balance method, IHB法)求解N维失谐叶盘系统振动方程的计算公式和求解步骤,将IHB法和数值延拓法综合运用到失谐叶盘系统振动响应求解中,提出了一种有效追踪强非线性系统幅频响应曲线方法,并验证了其方法运用的有效性。
系统地分析了谐调叶盘系统和单个叶片非线性摩擦失谐的叶盘系统振动响应特性,以及在整个叶盘系统非线性摩擦随机失谐的情况下,叶盘系统非线性摩擦力失谐强度、耦合刚度、粘性阻尼比和摩擦力强度等系统参数对叶盘系统受迫响应的影响规律。
本文的研究结论,在一定程度上完善和发展了失谐叶盘系统振动局部化问题的基本理论,同时对指导设计人员正确设计叶盘系统,研制高性能燃气轮机和发动机提供了一定的理论参考。
The mistuning can lead to the vibration localization of blade disks, even result in the high cyclic fatigue failure. Due to the insufficient of research on vibration localization of mistuning bladed disk, vibration localization of bladed disks with mistuning non-linear friction is systematically studied aimed at one of the difficulty problems in research on vibration localization of mistuning bladed disks.
With regard to the problem that the model of blade disks is simple in existing studies, which may cause a lot of important dynamical information missing and the gaps between the theory and practice, the mechanical model closer to the actual is established to analyze the vibration characteristics of bladed disks with mistuning non-linear friction more accurately.
Aiming at the established the mechanical model of bladed disks with mistuning non-linear friction, formula and solving steps of incremental harmonic balance method (IHB method) has been derived to solve the N-dimensional vibration equations of mistuned bladed disks. Then an effective method has been presented by combining the IHB method with numerical continuation method, which can effectively track the amplitude frequency response curve of strongly non-linear system.
Bladed disks with non-linear friction, including tuning system and bladed disks with mistuning non-linear friction of a single blade, are studied in this paper. And then, a simulation analysis is carried out to study the influence of systematical parameters like mistuning strength, coupling stiffness, viscous damping ratio and friction strength on forced response of bladed disks under the circumstance of random mistuning of dry friction.
The outcomes of this dissertation improve the fundamental theories of the vibration localization of the mistuned bladed disk to some extent. They can be a support for the designer to design the blade disks exactly, and develop high-performance gas turbines and aeronautical engines.
针对现有文献建立的含非线性摩擦失谐叶盘系统模型相对简单的情况,根据工程实际中叶盘系统摩擦阻尼件的摩擦机理,建立了更接近实际的非线性摩擦失谐的叶盘系统力学模型,从而能更精确地分析失谐叶盘系统振动响应特性。
基于建立的非线性摩擦失谐的叶盘系统模型,推导出了增量谐波平衡法(Incremental harmonic balance method, IHB法)求解N维失谐叶盘系统振动方程的计算公式和求解步骤,将IHB法和数值延拓法综合运用到失谐叶盘系统振动响应求解中,提出了一种有效追踪强非线性系统幅频响应曲线方法,并验证了其方法运用的有效性。
系统地分析了谐调叶盘系统和单个叶片非线性摩擦失谐的叶盘系统振动响应特性,以及在整个叶盘系统非线性摩擦随机失谐的情况下,叶盘系统非线性摩擦力失谐强度、耦合刚度、粘性阻尼比和摩擦力强度等系统参数对叶盘系统受迫响应的影响规律。
本文的研究结论,在一定程度上完善和发展了失谐叶盘系统振动局部化问题的基本理论,同时对指导设计人员正确设计叶盘系统,研制高性能燃气轮机和发动机提供了一定的理论参考。
The mistuning can lead to the vibration localization of blade disks, even result in the high cyclic fatigue failure. Due to the insufficient of research on vibration localization of mistuning bladed disk, vibration localization of bladed disks with mistuning non-linear friction is systematically studied aimed at one of the difficulty problems in research on vibration localization of mistuning bladed disks.
With regard to the problem that the model of blade disks is simple in existing studies, which may cause a lot of important dynamical information missing and the gaps between the theory and practice, the mechanical model closer to the actual is established to analyze the vibration characteristics of bladed disks with mistuning non-linear friction more accurately.
Aiming at the established the mechanical model of bladed disks with mistuning non-linear friction, formula and solving steps of incremental harmonic balance method (IHB method) has been derived to solve the N-dimensional vibration equations of mistuned bladed disks. Then an effective method has been presented by combining the IHB method with numerical continuation method, which can effectively track the amplitude frequency response curve of strongly non-linear system.
Bladed disks with non-linear friction, including tuning system and bladed disks with mistuning non-linear friction of a single blade, are studied in this paper. And then, a simulation analysis is carried out to study the influence of systematical parameters like mistuning strength, coupling stiffness, viscous damping ratio and friction strength on forced response of bladed disks under the circumstance of random mistuning of dry friction.
The outcomes of this dissertation improve the fundamental theories of the vibration localization of the mistuned bladed disk to some extent. They can be a support for the designer to design the blade disks exactly, and develop high-performance gas turbines and aeronautical engines.
引文
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