Bolt connection cylindrical shell structure dynamic characteristic calculation and analysis method

A technology of dynamic characteristics and analysis methods, applied in the field of mechanical dynamics, can solve problems such as inaccuracy

Active Publication Date: 2019-12-13
NORTHEASTERN UNIV
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Problems solved by technology

But at the same time, this type of analysis method ignores the uncertainty of the mechanical properties of the bolted connection. Therefo...

Method used

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  • Bolt connection cylindrical shell structure dynamic characteristic calculation and analysis method
  • Bolt connection cylindrical shell structure dynamic characteristic calculation and analysis method
  • Bolt connection cylindrical shell structure dynamic characteristic calculation and analysis method

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Embodiment Construction

[0083] The specific embodiments of the present invention will be described in detail below in conjunction with the technical solutions and accompanying drawings.

[0084] The method execution steps of the present invention refer to figure 1 shown.

[0085] Consider a bolted cylindrical shell structure such as figure 2 As shown, the specific parameters of the cylindrical shell are: thickness h=0.002m, length L=0.100m, middle surface radius R=0.010m, density ρ=7850kg / m 3 , Poisson's ratio μ=0.3, Young's modulus E=206Gpa. The number of bolts is 16, and the stiffness in each direction is k u =1×10 7 N / m,k v =5×10 6 N / m,k w =5×10 6 N / m and k θ =1×10 7 N / rad. The pretightening force of the bolt connection interface is N=800N.

[0086] Utilize the inventive method to solve it, concrete steps are as follows:

[0087] Step 1 uses the combination of orthogonal polynomial clusters and trigonometric functions to solve the displacement of the cylindrical shell in each vibrati...

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Abstract

The invention provides a bolt connection cylindrical shell structure dynamic characteristic calculation and analysis method, and belongs to the technical field of mechanical dynamics. The method comprises the following steps: establishing a cylindrical shell energy equation according to a plate-shell theory; establishing a load excitation equation according to the external load condition; establishing a bolt connection mechanical equation according to the bolt connection characteristics; solving bolt connection equivalent stiffness and equivalent damping according to first-order Fourier decomposition; accurately expressing different load characteristics through component force in each vibration displacement direction; obtaining a forced vibration differential equation of the bolt connection cylindrical shell structure through a Lagrange equation; and solving the dynamic characteristics of the bolted connection cylindrical shell structure by applying an incremental harmonic balance method. The method starts from the establishment of a bolted connection equivalent mechanical model, is applied to a cylindrical shell structure, achieves the solving of the vibration response according to the demands of different actual working conditions, simplifies the modeling and calculation process, is high in precision, is high in universality, and the like.

Description

technical field [0001] The invention belongs to the technical field of mechanical dynamics, and in particular relates to a method for calculating and analyzing the dynamic characteristics of a bolted cylindrical shell structure. Background technique [0002] Bolted cylindrical shell structures are widely used in engineering equipment such as aerospace, ship and ocean engineering, and construction engineering, such as aircraft fuselages, engine casings, etc. In the loading environment, the bolted connection state is easy to change, which causes the connection stiffness and connection damping to present nonlinear characteristics, which causes the dynamic characteristics of the bolted cylindrical shell structure to change, so its dynamic behavior is more complex. Therefore, the analysis of the dynamic characteristics of the bolted cylindrical shell structure is very important for the structural design and the guarantee of the structural vibration characteristics. Moreover, the...

Claims

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Application Information

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IPC IPC(8): G06F17/50
Inventor 李朝峰唐千升苗雪阳
Owner NORTHEASTERN UNIV
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