Formula for a Body of Resolution

[cliff]

I am not a math whiz, but I need a formula similar to a parabolic curve to design a shape similar to an aircraft wing tank in 2D.
I have found two body of resolution formulas in the old NACA files, but only the rear aspect and thickness of the shape can be changed. Naturally... I need to change the nose shape as well.
The shape I'm trying to design is for a motorcycle streamliner body, for running at the salt flats. Hence I have to be able to change both the front and rear ends of the shape to fit wheel diameters and engine width, yet still maintain the smooth air flow.
I could free hand the shape out, but in making the body mold it would be much better all the way around to have some formula results to work off of.
Any help/suggestions would be appreciated.

 

[Aaron Bex]

One possible formula you can use is a Bezier curve. Bezier curves are widely used in computer graphics and animation, and are based on a parametric equation that allows you to control the shape of the curve. You can find more information about them here: https://en.wikipedia.org/wiki/Bézier_curve.

 

[ravenprp]

Designing a body of resolution, or a streamlined body shape for a specific purpose, can be a challenging task. While there is no one specific formula for this, there are some principles and guidelines that can help in creating such a shape.

Firstly, it is important to understand the purpose and requirements of the body of resolution. In this case, it is for a motorcycle streamliner body, which needs to be aerodynamic and able to fit the wheel diameters and engine width while maintaining smooth air flow. This information will be crucial in determining the overall shape and dimensions of the body.

One approach to designing a body of resolution is to use a combination of mathematical equations and computer-aided design (CAD) software. This will allow for precise measurements and adjustments to be made, while still having the flexibility to change the front and rear ends of the shape.

One possible formula that could be used is the NACA airfoil formula, which is commonly used in designing streamlined shapes for aircraft wings. This formula takes into account the thickness and curvature of the shape, which can be adjusted to fit the specific requirements of the motorcycle streamliner body. However, as mentioned in the content, this formula only allows for changes in the rear aspect and thickness of the shape, so additional equations or modifications may be needed to adjust the front end.

Another option could be to use a parabolic curve formula, as mentioned in the content. This type of curve is commonly used in designing streamlined shapes and can be adjusted to fit the desired dimensions and curvature of the body. However, it may require some trial and error to find the right combination of parameters to achieve the desired shape.

In addition to using mathematical formulas, it may also be helpful to consult with experts or conduct research on similar designs to gather inspiration and ideas. CAD software also allows for the creation of 3D models, which can be helpful in visualizing and fine-tuning the design before creating a physical mold.

In conclusion, while there is no one specific formula for designing a body of resolution, a combination of mathematical equations, CAD software, and research can help in creating a streamlined and aerodynamic shape for the motorcycle streamliner body. It may require some experimentation and adjustments, but with determination and perseverance, a suitable formula can be found to achieve the desired design.