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Method for calculating dynamic response at tail ends of central rigid body-FGM tapered beam systems

A technology of dynamic response and calculation method, applied in the field of multi-body system dynamics, can solve problems such as low computational efficiency, and achieve the effect of high computational accuracy and high computational efficiency

Active Publication Date: 2018-08-10
NANJING UNIV OF SCI & TECH
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Problems solved by technology

At present, the existing work mainly uses the traditional Cartesian coordinate system to calculate the dynamics of flexible beams, and the calculation efficiency is relatively low. Choosing a reasonable modeling method to establish a model that meets the calculation accuracy and high calculation efficiency has become a research topic for this type of problem. focus in

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  • Method for calculating dynamic response at tail ends of central rigid body-FGM tapered beam systems
  • Method for calculating dynamic response at tail ends of central rigid body-FGM tapered beam systems
  • Method for calculating dynamic response at tail ends of central rigid body-FGM tapered beam systems

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example

[0052] Example: A calculation method for the dynamic response of the end of a central rigid body-FGM wedge beam system, such as Figure 6 As shown, the method includes the following steps:

[0053] (1) Set the law of rotation speed:

[0054]

[0055] (2) Set the relevant parameters of the central rigid body-FGM beam system, the material of the cantilever end is aluminum, and the material of the free end is ceramic. The specific values ​​are given in Table 1.

[0056] Table 1 Geometric parameters of central rigid body-FGM beam system

[0057]

[0058] Table 2 Material parameters of central rigid body-FGM beam system

[0059]

[0060] (3) Enter data in the file "0.txt", such as image 3 shown;

[0061] (4) Write a C++ program to solve the kinetic equation (4), run the program and read the data in the file "0.txt", the calculation process is as follows Figure 4 shown;

[0062] (5) After the program operation is completed, output the files "v.txt" and "u.txt" ( ...

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Abstract

The invention discloses a method for calculating dynamic response at tail ends of central rigid body-FGM tapered beam systems. The method comprises the following steps of: describing a geometric displacement relationship of a flexible FGM beam by using an arc length coordinate, and respectively describing transverse bending, longitudinal tensile deformation and a shear angle of the flexible beam by using a dip angle and a tensile strain variable; discretizing a deformation field by adoption of an assumed mode method, and carrying out equation deduction by using a second-type Lagrange equationso as to obtain a rigid-flexible coupled dynamic model of a central rigid body-FGM tapered beam system; compiling an FGM beam tail end response calculation program by using C++, and obtaining a changevalue of the beam system tail end response along with a large-scale rotation time through reading parameters such as geometric parameters, function gradient functions and material components of the central rigid body-FGM tapered beam system. By adoption of the method, the calculation precision and efficiency are relatively high.

Description

technical field [0001] The invention belongs to the field of multi-body system dynamics, in particular to a method for calculating the end dynamics response of a central rigid body-FGM wedge beam system. Background technique [0002] Aiming at the dynamic response problem of the central rigid body-flexible beam system with a large range of motion, an appropriate coordinate system is selected to establish an accurate dynamic model, and the complete model is simplified based on the calculation accuracy. A dynamic model with high efficiency becomes the key to solve this kind of dynamic problems. [0003] Librescu established the central rigid body-FGM beam model for the first time, and based on this model, the vibration analysis was carried out. In 2005, based on previous modeling methods, Librescu studied the dynamic characteristics of cylindrical thin-walled beams under large-scale motion. In 2012, Zhang Wei applied the high-order shear theory in the modeling process, and e...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/17G06F2119/06G06F30/20
Inventor 章定国高晨彤黎亮
Owner NANJING UNIV OF SCI & TECH
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