System Dynamics Modeling—Now Available with the Business Simulation Library

Explore the contents of this article with a free Wolfram System Modeler trial. System dynamics (SD) is a very powerful and flexible modeling paradigm, ideally suited to tackle strategic business, economics and public policy issues. Some years ago, Guido Wolf Reichert, management consultant and developer for BSL Management Support, Germany, stumbled into problems while modeling the public transport system in a German metropolis. He had reached the technical limits of the established SD software. While looking for alternatives, he discovered Wolfram System Modeler.

Simulating Zero Gravity to Demonstrate the Dzhanibekov Effect and Other Surprising Physics Models

Explore the contents of this article with a free Wolfram System Modeler trial. Wolfram System Modeler 12.2 was just released, featuring things such as personalization of plots, new model libraries and extended GUI support for advanced modeling. One of the other additions is a new workflow for generating 3D models from 3D shapes. We will use this feature to illustrate some bizarre and counterintuitive physics.

Digital Vintage Sound: Modeling Analog Synthesizers with the Wolfram Language and System Modeler

Explore the contents of this article with a free Wolfram System Modeler trial. Have you ever thought about making your own musical instruments? What about making mathematical models of your instruments? Whether you're someone looking for a cost-effective alternative, a minimalist with dreams of maximalist sounds or a Wolfram Language enthusiast curious about sound design, you can build a virtual version of a modular synthesizer using Wolfram System Modeler.

Powering Engineering Education with Wolfram Virtual Labs

Explore the contents of this article with a free Wolfram System Modeler trial. How can you make teaching come alive and be more engaging? For many educators, the answer turns out to be not so much a single solution, but rather a set of tools that can vary according to subject and even by student. So today, I want to add something new to the pedagogical toolkit: Wolfram Virtual Labs.

Wolfram Virtual Labs are open educational resources in the form of interactive courseware that are used to explain different concepts in the classroom. Our ambition is to provide an easy way to study difficult concepts and promote student curiosity.

For this post, I spoke with Dr. Matteo Fasano about his experience with using Virtual Labs as a course complement in the masters’ courses in which he acts as a teaching assistant. He also told me why and how he supported the Wolfram MathCore group to develop the CollegeThermal Virtual Labs (now available) and how they can help teachers or instructors make learning more engaging.

Innovating in Education, Analytics and Engineering: Thirty Years Using Wolfram Technology

Explore the contents of this article with a free Wolfram System Modeler trial. Robert Prince-Wright has been using Mathematica since its debut in 1988 to develop computational tools in education, business consulting and offshore engineering. We recently talked to Prince-Wright about his work developing simulation models for deepwater drilling equipment at safety and systems engineering company Berkeley & Imperial.

His latest work is cutting edge—but it’s only part of the story. Throughout his career, Prince-Wright has used Wolfram technologies for “modeling systems as varied as downhole wellbore trajectory, radionuclide dispersion and PID control of automation systems.” Read on to learn more about Prince-Wright’s accomplishments and discover why Wolfram technology is his go-to for developing unique computational solutions.

Why Is Sickle Cell Anemia Common in Areas with Malaria? Teaching Life Science with Modeling

Explore the contents of this article with a free Wolfram System Modeler trial. Life science teaches us to answer everything from "How can vaccines be used to indirectly protect people who haven't been immunized?" to "Why are variations in eye color almost exclusively present among humans and domesticated animals?" You can now learn to answer these questions by using modeling with Wolfram's virtual labs. Virtual labs are interactive course materials that are used to make teaching come alive, provide an easy way to study different concepts and promote student curiosity.

Unleash Your Models with System Modeler 5.1

Explore the contents of this article with a free Wolfram System Modeler trial. We are excited to announce the latest installment in the Wolfram System Modeler series, Version 5.1, where our primary focus has been on pushing the scope of use for models of systems beyond the initial stages of development.

Since 2012, System Modeler has been used in a wide variety of fields with an even larger number of goals—such as optimizing the fuel consumption of a car, finding the optimal dosage of a drug for liver disease and maximizing the lifetime of a battery system. The Version 5.1 update expands System Modeler beyond its previous usage horizons to include a whole host of options, such as:

Exporting models in a form that includes a full simulation engine, which makes them usable in a wide variety of tools Providing the right interface for your models so that they are easy for others to explore and analyze Sharing models with millions of users with the simulation core now included in the Wolfram Language

Rolling Bearings: Modeling and Analysis in Wolfram System Modeler

Background

Explore the contents of this article with a free Wolfram System Modeler trial. Rolling bearings are one of the most common machine elements today. Almost all mechanisms with a rotational part, whether electrical toothbrushes, a computer hard drive or a washing machine, have one or more rolling bearings. In bicycles and especially in cars, there are a lot of rolling bearings, typically 100--150. Bearings are crucial---and their failure can be catastrophic---in development-pushing applications such as railroad wheelsets and, lately, large wind turbine generators. The Swedish bearing manufacturer SKF estimates that the global rolling bearing market volume in 2014 reached between 330 and 340 billion bearings. Rolling bearings are named after their shapes---for instance, cylindrical roller bearings, tapered roller bearings and spherical roller bearings. Radial deep-groove ball bearings are the most common rolling bearing type, accounting for almost 30% of the world bearing demand. The most common roller bearing type (a subtype of a rolling bearing) is the tapered roller bearing, accounting for about 20% of the world bearing market. With so many bearings installed every year, the calculations in the design process, manufacturing quality, operation environment, etc. have improved over time. Today, bearings often last as long as the product in which they are mounted. Not that long ago, you would have needed to change the bearings in a car's gearbox or wheel bearing several times during that car's lifetime. You might also have needed to change the bearings in a bicycle, kitchen fan or lawn mower. For most applications, the basic traditional bearing design concept works fine. However, for more complex multidomain systems or more advanced loads, it may be necessary to use a more advanced design software. Wolfram System Modeler has been used in advanced multidomain bearing investigations for more than 14 years. The accuracy of the rolling bearing element forces and Hertzian contact stresses are the same as the software from the largest bearing manufacturers. However, System Modeler provides the possibilities to also model the dynamics of the nonlinear and multidomain surroundings, which give the understanding necessary for solving the problems of much more complex systems. The simulation time for models developed in System Modeler is also shorter than comparable approaches.

Helicopter Landing on Ship: Model and Simulation

Background

Explore the contents of this article with a free Wolfram System Modeler trial. Today, many helicopters launch from and land on ships at sea. Some are conventional helicopters, both commercial and military, and some are drones. In Wolfram System Modeler, we now have a system for simulating helicopter landings and launches that includes waves and ships. The models have been used for the design of mechanical parts, autopilots, landing criteria, and operational limits.

Major components of the system

The aim has been to develop a model with an accurate depiction of the waves, ship motion, and helicopters in such a way that the results can be used not only qualitatively but also quantitatively in real industrial applications. The first task is to calculate the motion of the landing platform mounted on the ship's deck. There is commercially available historical wave data for different seas and oceans. Since access to this data is expensive, we will instead describe the waves mathematically. A model of the forces on the ship's hull was developed with classical analytical theory. With the waves and ship hull forces, the motion of the ship's landing platform can be calculated. If we assume that the helicopter landing does not influence the landing platform motion, the system is simplified. We speed up the simulation by storing the motion in a database for the different wave heights, lengths, and directions, and the ship's speed. Typically the database will include wave heights of 1, 2, 3, and 4 m; wave directions 0, 30, 60, 90, 120, 150, and 180 degrees; wave lengths 100, 150, and 200 m; and ship speeds of 5 and 10 knots. The helicopter was modeled with the MultiBody library. It includes mechanical parts such as rotors with gyroscopic effects and landing gear with hydraulic dampers. Friction models for wheel-deck interface and flexible beams for the rotor blades have been developed. We have also developed a simple autopilot where the landing algorithm is implemented and tested. For one application, the model has been run with the actual autopilot as hardware in the loop.

Do you want to be part of what's next?

Careers at MathCore