| Integrated Gear Software: Program 580 |
| This program is used to design a gearbox with a minimum weight. It is also useful in estimating the cost and weight of a gearbox before it is manufactured. |
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| Integrated Gear Software: Program 500 [Option 1] |
| This option is used to design and/or analyze standard and off-lead hobs (or rack type shaper cutters) which are non-topping. A standard lead hob has a flank angle in the normal section equal to the nominal pressure angle of the gear. |
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| Math Modeling: Computer Graphics Assignment |
| This is an example of an assignment using TK's procedural programming capability. Students start with a TK model having procedures for translation, rotation and scaling and they are required to add a procedure in the same style for mirroring about a given line. |
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| Math Modeling: Creating Summary Tables |
| The TK Solver variable sheet provides a concise summary of the inputs and outputs of a mathematical model. However, if several different scenarios are run, the variable sheet can only store one at a time. Fortunately, TK tables can be set up and the solutions transferred directly as needed. |
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| Math Modeling: Demonstrating Variational Geometry |
| Here we present an example in which TK is used to illustrate an important concept in computer aided design. The backsolving features of TK make it ideal for giving students a chance to experiment with different values of important parameters. |
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| Math Modeling: Easy Plotting of Multiple Data Sets |
| If your TK model has created several sets of (x,y) coordinate data in lists, you can arrange them easily for plotting on a single Line Chart with the custom procedure function MultiPlot. This document will explain how MultiPlot works and how to use it in your models. |
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| Math Modeling: First Guesses Fixed Computed |
| TK's Iterative Solver is a blessing if you think of solving a system of unwieldy system of nonlinear simultaneous equations or of backsolving for unknown limits of a definite integral or a boundary value problem for differential equations. Or is it a pain when you consider selecting guess variables, choosing initial guess values, or all that information which has to be typed in over and over during the problem-solving session. |
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| Math Modeling: Fitting A Normal Distribution To A List Of Values |
| The TK Library includes a family of routines for fitting data to probability distributions. This example shows a normal (Gaussian) distribution. A random number generator was used to generate a list of 5000 values from a normal distribution with mean 100 and standard deviation 15. |
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| Math Modeling: How To Solve Differential Equations with TKSolver |
| The integration methods in TK Solver require the following classifications. How many differential equations are in the set to be solved (integrated)? What is the highest order derivative in the differential equations? Do you want a fixed integration step size or would you like the integration routine to adaptively change the step size as the function varies? |
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| Math Modeling: Import From Excel Spreadsheet |
| Data was sent to us in an Excel spreadsheet with the following instructions: “I have attached some typical cooling performance data (Excel). We are interested in seeing how you can import the data, create the equations for radiator and fan flows, solve for the intecept point, plot these equations (CFM is typically on the x axis).” |
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