Abstract
The article studies the elastic and locomotive properties of Miura-ori-type paper origami. The mechanics of a single paper crease is studied experimentally, and its non-elastic properties turn out to be crucial. The entire origami construction is then described as a collection of individual creases, its capability to launch small objects is evaluated, and the equation of motion is found. Thus, the height of the launched ball is studied theoretically and experimentally as a function of governing parameters.
Highlights
In our investigation, we will consider the properties of paper origami, designed to vertically launch small loads
Different types of these deformations are possible: bending, stretching, all-round compression, etc. Both stretching and all-round compression can store a lot of energy, we will focus on the optimization of a one-layer Miura-ori, which operates solely on bending deformations
Our task was to investigate the maximum height of the launched load, so we should find the velocity of the ball at the moment of its separation from the origami
Summary
We will consider the properties of paper origami, designed to vertically launch small loads. This problem was proposed by the organizing committee of the X International Physicists’ Tournament. The creation of creases is accompanied by damage to the material and plastic deformations. This process is irreversible, as can be seen from the photo (Fig. 1). Once folded, origami may be subjected to further deformations that can be elastic in the vicinity of the stable position. Different types of these deformations are possible: bending, stretching, all-round compression, etc. Both stretching and all-round compression can store a lot of energy, we will focus on the optimization of a one-layer Miura-ori, which operates solely on bending deformations
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