曲线-形原始体用于变形元材料的变形
Asma Karami1, Adam Reddy1, Hussein Nassar1
1Department of Mechanical and Aerospace Engineering, University of Missouri, Columbia, Missouri 65211, USA.
Physical review letters
|March 22, 2024
概括
研究人员在曲折折叠的原创作品中,特别是米拉折叠图案中,得出了Poisson系数的公式. 这一突破有助于设计先进的原木结构和符合规定的机制.
科学领域:
- 原始设计工程 原始设计工程
- 材料科学 材料科学 材料科学
- 机械工程 机械工程
背景情况:
- 米乌拉折叠是一种多用途的原木拼接,可用于可部署结构和机器人技术.
- 了解曲形原木的机械特性对于设计先进的符合规则的机制至关重要.
- 现有的模型往往缺乏关闭形式的解决方案,用于复杂的原木图案的机械反应.
研究的目的:
- 导出一个封闭式的表达式的波桑系数的曲线增长的Miura ori 嵌板.
- 为了研究这些原木结构的曲反应和有效正常曲率.
- 为设计和建模曲线形原形和符合规范的外建立一个基准.
主要方法:
- 显式构建一个参数家族的等比尺寸的片面平滑表面,以建模折叠过程.
- 使用数值收方案分析曲反应,以确定有效的正常曲率.
- 应用开发的方法来设计一种新的3D变形固体,具有可调节的自锁功能.
主要成果:
- 一个封闭式表达式的波桑系数的曲线增长Miura ori成功地衍生出来.
- 在无穷小的曲下,有效正常曲率的比率与波松系数相等且相反.
- 这项研究介绍了一种新的曲线增长3D变形固体,具有可调节的自锁状态.
结论:
- 衍生的波松系数提供了一个简单而强大的工具,用于分析曲线增幅原形.
- 这些发现为设计和建模原木灵感的合规机制和外提供了有价值的基准.
- 开发的方法使得能够创建复杂的变形结构,具有可调节的机械性能.
相关概念视频
Unsymmetric Bending
330
Unsymmetrical bending occurs when the bending moment applied to a structural member does not align with its principal axis. This misalignment leads to complex stress distributions and deflection patterns that differ from those in symmetrical bending, and are essential for designing structures to withstand different loading conditions. In unsymmetrical bending, the neutral axis—where stress is zero—does not necessarily align with the geometric axes of the cross-section. The...
330
Bending of Curved Members - Neutral Surface
179
In curved beams, unlike straight beams, the stress distribution across the cross-section is not uniform due to the beam's curvature. This non-uniformity arises because the neutral axis, where stress is zero, does not align with the centroid of the section. In a curved beam, the strain varies along the section as a function of the distance from the neutral axis.
Consider the curved member described in the previous lesson. According to Hooke's law, which relates stress to strain within...
Consider the curved member described in the previous lesson. According to Hooke's law, which relates stress to strain within...
179
Unsymmetric Bending - Angle of Neutral Axis
303
Unsymmetrical bending occurs when a structural member is subjected to bending moments in a plane that does not align with the member's principal axes. This scenario typically arises in beams and other structural components when loads are applied at non-ideal angles, introducing complexities in stress analysis.
When a bending moment is applied at an angle θ concerning the vertical axis of a symmetrical member, it can be resolved into components along the member's principal...
When a bending moment is applied at an angle θ concerning the vertical axis of a symmetrical member, it can be resolved into components along the member's principal...
303
Bending of Members Made of Several Materials
148
In analyzing a structural member composed of two different materials with identical cross-sectional areas, it is crucial to understand how their distinct elastic properties affect the member's response under load. The analysis involves assessing stress and strain distributions using the transformed section concept, which accounts for variations in material properties.
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each...
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each...
148
Bending of Material: Problem Solving
185
In this lesson, determine the ratio of the maximum bending moments applied to two metal pipes, given that both pipes can withstand a maximum stress of 100 MPa. Both pipes have an outer radius of 1.8 cm. Pipe A has an inner radius of 1.5 cm, and Pipe B has an inner radius of 1 cm. The ratio of the maximum bending moment applied to two metallic pipes, each with a different inner and outer radius, is determined by considering their dimensions. The inner radius of the first pipe is 1.5 cm, and for...
185
Plastic Deformations of Members with a Single Plane of Symmetry
88
When a structural member undergoes plastic deformation due to bending, it is crucial to understand the position of the neutral axis and the stress distribution. This member, characterized by a single plane of symmetry, exhibits a uniform stress distribution, with negative stress above the neutral axis and positive stress below. Notably, the neutral axis does not align with the centroid of the cross-section. This misalignment is typical in cases where the cross-section is not rectangular or...
88


