Dynamic Modeling Method of Rotating Cylindrical Shell-Variable Section Disc-Pretwisted Blade System

Abstract

The invention relates to a dynamic modeling of a rotating cylindrical shell-variable section disc-pre-twisted blade coupling system, the method comprising the following steps: Step 1: constructing a rotating cylindrical shell-variable section disc-pre-twisted blade coupling system dynamics modeling The required three-dimensional coordinate system; Step 2: determining The structural parameters andmaterial parameters of the rotating cylindrical shell-variable section disc-pre-twisted blade coupling system; according to the kinetic energy calculation formula, acquiring the kinetic energy of thepre-twisted blade and the pre-twisted blade coupled with the variable-section disk and the rotating cylindrical shell; Step 4: Based on the vibration theory of the shell and shell, considering the influence of the centrifugal stiffening effect of the pre-twisted blade during the rotation process, the potential energy of the rotating pre-twisted blade is obtained; Step 5: wherein Variable section disk can satisfy the theory of small deflection of lateral vibration of elastic thin plates, deriving the theory of small deflection of transverse vibration by using the Hamiltonian principle to derivethe differential equation of transverse elastic vibration, and acquiring the kinetic energy and potential energy of the variable section disk. The method provided by the invention has higher calculation efficiency and calculation precision.

Description

technical field [0001] The invention belongs to the technical field of mechanical dynamics, and in particular relates to a dynamic modeling method of a rotating cylindrical shell-variable section disk-pre-twisted blade system. Background technique [0002] At present, the existing modeling methods of rotating cylindrical shell-variable cross-section disc-pre-twisted blade mainly include the following two methods: [0003] 1. Based on commercial finite element analysis software [0004] Import the CAD 3D model into the commercial finite element analysis software or directly build the 3D model of the entire component in the finite element software, select the appropriate unit and material parameters, mesh the 3D model, establish the finite element model, and set the appropriate The dynamic characteristics of the rotating cylindrical shell-variable cross-section disk-pre-twisted blade system are analyzed by constraining and choosing an appropriate solution method. However, wh...

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Problems solved by technology

[0006] Based on the knowledge I have at present, most of the systems on the market are coupling systems of rotating cylindrical shells and equal-section disks, and the diameter of the drum is the same as that of the rotating cylindrical shell. The plate is based on thin plate theory, and the rotating cylindrical shell is based on LOVE shell theory. Donnell shell theory, etc., the dynamic modeling of the whole system is based on the energy method, which cannot consider the situation when the disk is a variable-section disk and the radius of the rotating cylindrical shell is smaller than the radius of the disk, which does not conform to the actual application structure of the coupling system of the rotating cylindrical shell and the disk

[0007] At present, based on the vibration theory of plates and shells, the technology for dynamic modeling of rotating cylindrical shells-variable cross-section disks-pre-twist blades is blank

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