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A form-finding method for tensegrity structures based on Monte Carlo method

A technique of tensegrity structure and Monte Carlo method, applied in special data processing applications, instruments, electrical and digital data processing, etc., can solve the problems of lack of processing methods and low calculation speed, and achieve the effect of remarkable effect and speed up.

Inactive Publication Date: 2018-06-26
HARBIN INST OF TECH
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  • Description
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  • Application Information

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Problems solved by technology

[0005] Aiming at the problems of lack of corresponding programs, low calculation speed and lack of definition of basic concepts and processing methods for special cases, the present invention proposes a form-finding method for tensegrity structures based on Monte Carlo method. Form-finding calculation for the overall structure, so as to obtain the self-balancing structure in the project

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  • A form-finding method for tensegrity structures based on Monte Carlo method
  • A form-finding method for tensegrity structures based on Monte Carlo method
  • A form-finding method for tensegrity structures based on Monte Carlo method

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specific Embodiment approach 1

[0030] Specific implementation mode 1: This implementation mode provides a parameter definition and setting method of a tensegrity structure form-finding method based on the Monte Carlo method, such as figure 1 As shown, it specifically includes the following steps:

[0031] Step 1: Set the initial conditions, which can be divided into the following steps:

[0032] 1.1. The total number of elements is m, the number of nodes is n, and the number of struts is e b , the cable number is e s , where e b +e s =m.

[0033] 1.2. Material properties: The material properties that need to be set include the cross-sectional area A of the unit (the compression rod and the cable are respectively marked as A b 、A s ) and the elastic modulus E of the unit (E b ,E s , generally the materials of similar units are the same) and the original length L of the unit o (L ob , L os , if the lengths of each unit are different, input the original length matrix L of the unit by row o ).

[0...

specific Embodiment approach 2

[0051] Specific implementation mode two: this implementation mode provides a kind of MATLAB programming implementation of the T prism tensegrity overall structure form-finding method based on the Monte Carlo method, including the following steps:

[0052] Step 1: Set the initial conditions, which can be divided into the following steps:

[0053] 1.1. For T prism geometric parameter setting, only the unit number parameter setting statement is given.

[0054] m=12.

[0055] 1.2. Material properties: Set the material properties of the compression bar and the cable respectively, and only give the program section for setting the material properties of the compression bar.

[0056] Ab = 200;

[0057] Eb=2.06e+5;

[0058] Lob=2.7806e+3.

[0059] 1.3. To calculate the stiffness S of the element, only the stiffness component of the strut element (the first row of the matrix) is given.

[0060] Sb=Eb*Ab / Lob; % unit stiffness of compression bar

[0061] Sr1=[Sb; Sb; Sb]; % compress...

specific Embodiment approach 3

[0091] Specific implementation mode three: This implementation mode takes the T prism as a calculation example, and provides the process and results of the form-finding calculation of the tensegrity structure based on the Monte Carlo method, including the following steps:

[0092] Step 1. Set initial conditions.

[0093] T prism geometric parameter setting: the number of units is m=12, e b = 3 pressure rods, e s =9 stay cables, the number of nodes n=6. Material property settings for tie and strut.

[0094] Step 2: Randomly generate an initial configuration.

[0095] Randomly generate the initial configuration P, such as image 3 Shown, and calculate the energy E of the configuration. In each step of iterative calculation, the energy of the obtained configuration is calculated to understand its change trend, such as figure 2 .

[0096] Step 3: Randomly generate a new configuration and judge whether to accept it.

[0097] Calculate the energy E' of the new configuration...

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Abstract

The present invention provides a Monte Carlo method based tensegrity structure form-finding method, and belongs to the field of tensegrity structure statics analysis. Aiming at the problems of lack of corresponding programs, a relatively low calculation speed, and lack of definitions for basic concepts and a processing method for particular cases, the steps adopted by the method of the present invention are as follows: step 1. setting an initial condition; step 2. randomly generating an initial configuration; step 3. randomly generating a new configuration and determining whether to accept the new configuration; step 4. checking whether a system is balanced; and step 5. obtaining a form-finding result. According to the Monte Carlo method based tensegrity structure form-finding method provided by the present invention, the particular case and technical problem in form-finding calculation of a tensegrity structure are solved, so that a speed of form-finding calculation is quickened; and a form-finding calculation process of the tensegrity structure by a Monte Carlo method is implemented by using MATLAB programming, so that a self-balanced configuration can be obtained rapidly and accurately, and the effects are significant.

Description

technical field [0001] The invention belongs to the field of static analysis of tensioned integral structures, and relates to a form-finding method for tensioned integral structures. Background technique [0002] The tensegrity structure is a self-stressing cable network structure composed of continuous cables and independent compression rods. The concept was first proposed by Fuller. Due to its beautiful appearance and full use of the characteristics of materials, it can reduce weight and save materials. In recent years, it has received extensive attention and rapid development, and has been widely used in many fields such as civil engineering, aircraft deployable mechanism, biological cell engineering and materials science. [0003] After the topology and element length of a tensegrity structure are specified, it is necessary to determine its self-balanced structure, which is called form-finding. Form-finding is related to whether the structure can work normally, and it i...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/50
Inventor 郑志威何景峰赵建英王杨
Owner HARBIN INST OF TECH
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