Maple's computational capabilities are unmatched. While multiplication of matrices is not possible in Mathcad, even complex matrix manipulations are easily processed in Maple.
(PRWEB) October 20, 2016
Cranes are large machines used to lift and relocate heavy payloads. Due to safety concerns, as well as potential damage to the payload or property, the well-trained operators must ensure precise movements of the crane. Often this requires performing multiple tasks simultaneously. Hiab, a leading provider of load handling equipment, is designing new ways to unburden the crane operator of some tasks while maintaining the safe and precise operation of the machine.
Dr. Daniel Morales, Hiab’s Research Manager for Control Systems, provides engineering solutions for all product lines at Hiab. Faced with the limitations of his company’s current computing software, Dr. Morales chose Maple to improve the speed and accuracy of the calculations used to model crane behaviour in Hiab’s existing simulation environment. Dr. Morales was familiar with Maple, the technical computing software from Maplesoft. He had used Maple extensively during his doctoral studies at Umeȧ University in Sweden, where he studied motion control of forestry cranes.
On a crane, the boom sections are extended and retracted by hydraulic cylinders. The operator controls the action in which hydraulic fluid is transmitted under high pressure into the cylinder. The hydraulic cylinders apply a force to the crane elements that control joint motions. Within the cab of the crane, the operator controls each cylinder separately in order to move the tip of the crane to its desired location. The operator’s joystick movement directly controls the cylinder force and the velocity of joint rotation. The control method is very complicated and Dr. Morales is working on enhanced control algorithms to simplify the operation of the cylinders; controlling the individual cylinders with an end-effector (gripper).
Maple provides two key features which were lacking in Hiab’s current mathematical tool, PTC® Mathcad®. First, the manipulation of the variable matrices used in the control algorithms are very formidable. Mathcad performed only limited matrix manipulations; it could not process more than four dimensions. Maple, however, solved this problem. Maple’s advanced computing capacity processes complex matrix manipulations, greater than four dimensions. Dr. Morales commented, “Maple’s computational capabilities are unmatched. While multiplication of matrices is not possible in Mathcad, even complex matrix manipulations are easily processed by Maple.”
Secondly, Mathcad was unable to export computations directly to Hiab’s existing simulation software, Simulink® from MathWorks®. Maple, however, is able to export computations directly to Simulink®. Because Maple efficiently optimizes the calculations, simulations in Simulink® run faster using computations performed in Maple.
Maple is a very robust tool which can quickly perform advanced matrix manipulations, efficiently manage all of the calculations and easily export the computations to other simulation tools. Dr. Morales added, “I am very pleased with the results we obtain using Maple. I use Maple every day and look forward to expanding the use of Maple within our company.”
For further information on how engineers are using Maplesoft technology to support the design of complex machines, please view the following whitepaper: Advanced System-Level Modeling of Complex Machines