# Parametric modeling

Parametric modeling |
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**Parametric modeling** is a type of modeling that uses parameters, or variables, to represent mathematical equations. Through parameterization, a user can quickly adjust various aspects of a model to give it different shapes and characteristics. This is done by defining the parameters and equations that define the model in a parametric modeling software package. Parameters such as length, width, height, radius, and other geometric properties can be adjusted in order to generate different models.

For example, a user could use parametric modeling to create a 3D car model. The user would define parameters such as the length, width, height, wheel size, and other geometric properties. The user could then adjust the parameters to create a variety of car models with different shapes and sizes.

Parametric modeling is useful in many engineering fields, such as architecture, product design, and mechanical engineering. It allows designers to quickly create, modify, and optimize complex designs. It also allows them to easily modify the parameters of a model to create a variety of different shapes and sizes.

## Example of Parametric modeling

Parametric modeling can be used to create a variety of designs, such as:

**Architectural models**: Parametric modeling can be used to create 3D models of buildings, including the dimensions, layout, and other details.**Product design**: Parametric modeling can be used to quickly generate different product designs, such as consumer electronics, furniture, and other consumer goods.**Mechanical engineering**: Parametric modeling can be used to create 3D models of mechanical parts, such as gears, shafts, bearings, and other components.

In conclusion, parametric modeling can be used to quickly create a variety of designs, such as architectural models, product designs, and mechanical engineering parts. It allows designers to quickly create, modify, and optimize complex designs, as well as easily modify the parameters of a model to create a variety of different shapes and sizes.

## When to use Parametric modeling

Parametric modeling is useful for a variety of tasks, including:

**Designing complex 3D shapes**: Parametric modeling can be used to quickly create complex 3D shapes with a variety of parameters. This is especially useful for designs that require a lot of detail and precision.**Designing products**: Parametric modeling can be used to create prototypes of products quickly and accurately. It can also help designers optimize their products for performance, cost, and other considerations.**Optimizing designs**: Parametric modeling can help designers optimize their designs for weight, strength, cost, and other considerations. This can help them create better products faster.

## Types of Parametric modeling

**Parametric Equations**: Parametric equations are equations that define a model by using parameters, such as length, width, height, and other geometric properties. These equations are defined in a parametric modeling software package, and can be adjusted to create different models.**Non-parametric equations**: Non-parametric equations are equations that do not use parameters to define a model. These equations are defined in a non-parametric modeling software package, and can be used to create basic shapes and models.**Spline-based modeling**: Spline-based modeling is a type of modeling that uses splines to define a model. Splines are curves that are defined by a set of points and can be used to create smooth, organic shapes.

## Steps of Parametric modeling

- Parametric modeling consists of a series of steps which involve defining the parameters of a model, creating the equations which define the model, and adjusting the parameters to create various shapes and characteristics.
- The first step is to define the parameters of the model, such as length, width, height, radius, and other geometric properties.
- The next step is to create the equations which define the model. These equations will determine how the parameters of the model interact with one another and how they affect the shape of the model.
- After the equations have been created, the user can then adjust the parameters to create different shapes and characteristics. This can be done by changing the values of the parameters or by adding additional parameters.
- Finally, the user can then optimize the model by adjusting the parameters to achieve the desired shape and characteristics.

## Advantages of Parametric modeling

- Parametric modeling is an efficient way to create, modify, and optimize complex designs. It allows users to quickly adjust various aspects of a model to give it different shapes and characteristics.
- Parametric modeling is also very accurate, as it is based on parameters and equations that define the model. This ensures that all models created are precise and accurate.
- Parametric modeling also allows users to easily modify the parameters of a model, which allows them to create a variety of different shapes and sizes.

## Limitations of Parametric modeling

Parametric modeling has some limitations and drawbacks. These include:

**Difficulty in creating complex shapes**: Parametric models are limited in their ability to create very complex shapes, as they are based on simple equations and parameters.**Difficulty in modifying existing models**: It can be difficult to modify existing models, as the parameters may need to be completely reworked in order to achieve the desired results.**Difficulty in creating a model from scratch**: It can be difficult to create a model from scratch, as the user must be familiar with the parameters and equations that define the model.

There are a few other approaches related to parametric modeling, such as:

**Non-parametric modeling**: This approach is based on the principle of “non-linear” geometry, meaning that the shapes and sizes of the models can be adjusted without the need to define specific parameters. Non-parametric modeling is useful for creating complex shapes and objects such as furniture, buildings, and sculptures.**Generative design**: This approach uses algorithms to generate a variety of designs based on certain user-defined criteria. Generative design allows users to quickly generate multiple designs with different shapes and characteristics, saving time and resources.**Mesh modeling**: This approach uses a mesh of points to define an object. Mesh modeling is useful for creating complex models such as human bodies, landscapes, and clothes.

## Suggested literature

- Stavric, M., & Marina, O. (2011).
*Parametric modeling for advanced architecture*. International journal of applied mathematics and informatics, 5(1), 9-16. - Turrin, M., Von Buelow, P., & Stouffs, R. (2011).
*Design explorations of performance driven geometry in architectural design using parametric modeling and genetic algorithms*. Advanced Engineering Informatics, 25(4), 656-675. - Woodbury, R., Aish, R., & Kilian, A. (2007, October).
*Some patterns for parametric modeling*. In 27th Annual Conference of the Association for Computer Aided Design in Architecture (pp. 222-229). Halifax: Dalhousie University.