Abstract
The current “structural mechanics” in the textbook, the more sub items in the formula of calculating degrees of freedom, is not conducive for the students to master the understanding and calculation of degree of freedom concept. After a few years of teaching, the new calculating formula of degree of freedom for the system is put forward, and the old formula is verified by two examples. The result shows that the new calculating formula and the current mainstream material formula calculation results are consistent, and the new formula is more helpful for students to understand the physical meaning of the calculation of degrees of freedom.
Highlights
In order to study whether the system can be used as a structure, it is often necessary to determine the degree of freedom of the system
In order to facilitate the study, we put forward the concept of computational freedom, which means the sum of freedom degree of all constrained objects in the system subtracts the sum of all constraints, and all the constraints include necessary constraints and redundant constraints
In the formula, W represents the degree of freedom of the calculation of the system; j represents the number of hinge points in the system; b represents the number of chain rods in the system; r represents the number of support chain rods
Summary
In order to study whether the system can be used as a structure, it is often necessary to determine the degree of freedom of the system. The degree of freedom of the system is generally difficult to solve in most cases For this reason, in order to facilitate the study, we put forward the concept of computational freedom, which means the sum of freedom degree of all constrained objects in the system subtracts the sum of all constraints, and all the constraints include necessary constraints and redundant constraints. 2.1 The formula that use rigid sheet as constrained object and use hinges and support chain rods as constraints. In the formula, W represents the degree of freedom of the calculation of the system; j represents the number of hinge points in the system; b represents the number of chain rods in the system; r represents the number of support chain rods. The support chain bar can be regarded as rigid sheet when it is considered as a constraint and it is just rigid sheet when regarded as a constrained object
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