Posts

Showing posts with the label Finite Element Analysis

Improve math skills of your kids - Learn step-by-step arithmetic from Math games

Math: Unknown - Step-by-step math calculation game for iOS.


Math: Unknown is much more than a math game. It is a step-by-step math calculation game which will teach users how to calculate in the correct order rather than just asking only the final calculated results.

The app consists of four basic arithmetic operations which are addition, subtraction, multiplication and division. In order to get started, users who are new to arithmetic can learn from animated calculation guides showing step-by-step procedures of solving each type of operation. It is also helpful for experienced users as a quick reference.

Generally, addition and subtraction may be difficult for users who just start learning math especially when questions require carrying or borrowing (also called regrouping). The app helps users to visualize the process of carrying and borrowing in the way it will be done on paper. Once users understand how these operations work, they are ready to learn multiplication and division.

For most students, division is considered as the most difficult arithmetic operation to solve. It is a common area of struggle since it requires prior knowledge of both multiplication and subtraction. To help users understand division, the app uses long division to teach all calculation procedures. Relevant multiplication table will be shown beside the question. Users will have to pick a number from the table which go into the dividend. Multiplication of selected number and divisor is automatically calculated, but the users have to do subtraction and drop down the next digit themselves. Learning whole calculation processes will make them master it in no time.

Math: Unknown is a helpful app for students who seriously want to improve arithmetic calculation skills.

Finite Element Analysis (FEA): Post-processing

Image
The following four-article series was published in a newsletter of the American Society of Mechanical Engineers (ASME) . It serves as an introduction to the recent analysis discipline known as the finite element (FEM). The author is an engineering consultant and expert witness specializing in finite element analysis. FINITE ELEMENT ANALYSIS: Post-processing by Steve Roensch, President, Roensch & Associates Last in a four-part series After a finite element model has been prepared and checked, boundary conditions have been applied, and the model has been solved, it is time to investigate the results of the analysis. This activity is known as the post-processing phase of the finite element method. Post-processing begins with a thorough check for problems that may have occurred during solution. Most solvers provide a log file, which should be searched for warnings or errors, and which will also provide a quantitative measure of how well-behaved the numerical procedures were ...

Finite Element Analysis (FEA): Solution

Image
The following four-article series was published in a newsletter of the American Society of Mechanical Engineers (ASME) . It serves as an introduction to the recent analysis discipline known as the finite element method (FEM). The author is an engineering consultant and expert witness specializing in finite element analysis. FINITE ELEMENT ANALYSIS: Solution by Steve Roensch, President, Roensch & Associates Third in a four-part series While the pre-processing and post-processing phases of the finite element method are interactive and time-consuming for the analyst, the solution is often a batch process, and is demanding of computer resource. The governing equations are assembled into matrix form and are solved numerically. The assembly process depends not only on the type of analysis (e.g. static or dynamic), but also on the model's element types and properties, material properties and boundary conditions. In the case of a linear static structural analysis, the assembled equa...

Finite Element Analysis (FEA): Pre-processing

Image
The following four-article series was published in a newsletter of the American Society of Mechanical Engineers (ASME) . It serves as an introduction to the recent analysis discipline known as the finite element method (FEM). The author is an engineering consultant and expert witness specializing in finite element analysis. FINITE ELEMENT ANALYSIS: Pre-processing by Steve Roensch, President, Roensch & Associates Second in a four-part series As discussed in Finite Element Analysis (FEA): Introduction , finite element analysis is comprised of pre-processing, solution and post-processing phases. The goals of pre-processing are to develop an appropriate finite element mesh, assign suitable material properties, and apply boundary conditions in the form of restraints and loads. The finite element mesh subdivides the geometry into elements , upon which are found nodes . The nodes, which are really just point locations in space, are generally located at the element corners and perhaps nea...

Finite Element Analysis (FEA): Introduction

Image
The following four-article series was published in a newsletter of the American Society of Mechanical Engineers (ASME) . It serves as an introduction to the recent analysis discipline known as the finite element method (FEM). The author is an engineering consultant and expert witness specializing in finite element analysis. FINITE ELEMENT ANALYSIS: Introduction by Steve Roensch, President, Roensch & Associates First in a four-part series Finite element analysis (FEA) is a fairly recent discipline crossing the boundaries of mathematics, physics, engineering and computer science. The method has wide application and enjoys extensive utilization in the structural, thermal and fluid analysis areas. The finite element method is comprised of three major phases: (1) pre-processing , in which the analyst develops a finite element mesh to divide the subject geometry into subdomains for mathematical analysis, and applies material properties and boundary conditions. (2) solution , during whic...