conical helix

简明释义

锥形螺旋线

英英释义

例句

1.The conical helix (圆锥螺旋) shape is commonly found in certain types of shells and natural formations.

在某些类型的贝壳和自然形成物中，通常可以找到conical helix（圆锥螺旋）形状。

2.Engineers often use a conical helix (圆锥螺旋) design in gear systems to optimize torque transfer.

工程师们经常在齿轮系统中使用conical helix（圆锥螺旋）设计来优化扭矩传递。

3.In architecture, a conical helix (圆锥螺旋) staircase provides both aesthetic appeal and functional space-saving design.

在建筑设计中，conical helix（圆锥螺旋）楼梯既美观又节省空间。

4.The structure of the DNA molecule can be described as a conical helix (圆锥螺旋), which allows for efficient packing of genetic information.

DNA分子的结构可以描述为一个conical helix（圆锥螺旋），这使得遗传信息能够高效地打包。

5.The motion of a spring can be modeled as a conical helix (圆锥螺旋) when it is compressed or extended.

当弹簧被压缩或拉伸时，其运动可以建模为一个conical helix（圆锥螺旋）。

作文

The concept of a conical helix is fascinating and appears in various fields such as mathematics, physics, and engineering. A conical helix can be described as a three-dimensional spiral that wraps around a conical surface. This structure is not only aesthetically pleasing but also has practical applications in real-world scenarios. For instance, the design of certain types of springs and coils utilizes the properties of a conical helix to enhance performance and efficiency.In mathematics, the conical helix is often represented in parametric equations, where the coordinates of points on the helix are defined in terms of a parameter, usually time. This allows mathematicians and engineers to analyze the behavior of the helix under various conditions. The equation for a simple conical helix can be expressed as follows: x(t) = r(t) * cos(t), y(t) = r(t) * sin(t), and z(t) = h * t, where r(t) is the radius of the helix at a given point, and h is the height increment per unit of rotation.One of the most interesting aspects of the conical helix is its occurrence in nature. For example, certain plant tendrils grow in a helical manner around their supports, often forming a conical shape as they reach upward towards sunlight. This growth pattern allows them to maximize their exposure to light while maintaining structural stability. Similarly, some shells of marine creatures exhibit the form of a conical helix, showcasing the beauty of mathematical principles in biological contexts.In engineering, the conical helix plays a significant role in the design of mechanical components. For instance, conical springs, which are designed in the shape of a conical helix, provide a progressive resistance to compression. This means that as the spring is compressed, it offers increasing resistance, making it ideal for applications in automotive suspension systems and other machinery where variable load support is essential.Moreover, the conical helix can be found in the design of various tools and devices. For example, the threads on screws and bolts often follow a helical path, and when designed in a conical shape, they can provide better grip and load distribution. This principle is crucial in construction and manufacturing, where the integrity of connections can determine the strength of structures.In conclusion, the conical helix is a remarkable geometric figure that bridges the gap between theory and application. Its presence in nature, mathematics, and engineering highlights the interconnectedness of these disciplines. By studying the conical helix, we gain insights into the underlying principles that govern both the natural world and human-made systems. As we continue to explore and harness the properties of this intriguing shape, the potential for innovation remains vast and exciting.

“圆锥螺旋”这一概念令人着迷，并出现在数学、物理和工程等多个领域。“圆锥螺旋”可以被描述为一种三维螺旋，围绕一个圆锥形表面缠绕。这种结构不仅在美学上令人愉悦，而且在现实世界中具有实际应用。例如，某些类型的弹簧和线圈的设计利用了“圆锥螺旋”的特性，以提高性能和效率。在数学中，“圆锥螺旋”通常用参数方程表示，其中螺旋上点的坐标是根据一个参数（通常是时间）来定义的。这使得数学家和工程师能够分析螺旋在各种条件下的行为。简单的“圆锥螺旋”的方程可以表示为：x(t) = r(t) * cos(t)，y(t) = r(t) * sin(t)，z(t) = h * t，其中r(t)是给定点的螺旋半径，h是每单位旋转的高度增量。“圆锥螺旋”最有趣的方面之一是它在自然界中的出现。例如，某些植物的藤蔓以螺旋方式生长，通常在向阳光生长时形成圆锥形状。这种生长模式使它们能够最大限度地接触阳光，同时保持结构稳定性。同样，一些海洋生物的贝壳也展现出“圆锥螺旋”的形状，展示了数学原理在生物背景下的美。在工程学中，“圆锥螺旋”在机械组件的设计中发挥着重要作用。例如，设计成“圆锥螺旋”形状的圆锥弹簧提供渐进的压缩阻力。这意味着当弹簧被压缩时，它提供越来越大的阻力，使其在汽车悬挂系统和其他需要可变负载支持的机械中非常理想。此外，“圆锥螺旋”还可以在各种工具和设备的设计中找到。例如，螺丝和螺栓上的螺纹通常遵循螺旋路径，当设计成圆锥形状时，可以提供更好的抓握力和负载分配。这一原理在建筑和制造中至关重要，因为连接的完整性可以决定结构的强度。总之，“圆锥螺旋”是一个显著的几何图形，架起了理论与应用之间的桥梁。它在自然、数学和工程中的存在突显了这些学科之间的相互联系。通过研究“圆锥螺旋”，我们获得了对支配自然世界和人造系统的基本原理的深入了解。随着我们继续探索和利用这种引人入胜的形状的特性，创新的潜力依然广阔而令人兴奋。