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With the update of Scan&Solve Pro, a new feature called “Use Quadratic Basis” in the Settings tab is now available. This feature allows for a more accurate analysis of thin structures with fewer elements (around an order fewer) as compared to using linear basis. The quadratic elements are particularly adept at handling bending in thin structures, whereas the previously used linear elements cannot “bend” without locking. For example, in the previous version, it may have taken 100,000 elements to get an accurate result. To get that same result with the new feature, it could take as few as 10,000 elements. For extremely thin structures with aspect ratios near 1000, it gets incredibly difficult to accurately model the structures with large numbers of elements, while the quadratic elements are capable of handling the structure with far fewer elements. The aspect ratio of a structure is simply a measure of some span (e.g. plate width, beam length) divided by the thickness. To demonstrate the effectiveness of quadratic elements, a simple study was done on a series of plates with increasing aspect ratios.The plates pictured above have aspect ratios of 10, 100, and 1000 from left to right, respectively. The sides were restrained and loads of 10 MPa, 10 kPa, and 10 Pa were applied for the three aspect ratios (10,100,1000). The change in load ensured results that were easy to graph. The graphs above show that for lower aspect ratios, it doesn’t matter if the linear basis or quadratic basis is used as they both yield similar results. However, as the aspect ratios increase, especially around 1000, the quadratic basis is clearly the better option. In real life, possible uses for this new feature are in analyzing skegs, fin keels, and other thin members on sailboats (diagram below [1]).The simple analysis below incorporates the hydrodynamic lift that a skeg may experience, along with the righting moment experienced by the fin keel. Because the skeg rudder has a rather large aspect ratio and the fin keel in this example is hollow, the best choice would most likely be a quadratic basis. In the image above, the blue lines are hydrostatic forces, with the nearer red arrows being the righting moment and the far red arrows being the lift produced by the skeg rudder.As you can see, when dealing with thin structures, it is easy to handle with the new quadratics feature. Stay tuned for more details on the sailboat analysis above. Sources:[1] http://www.sailboat-cruising.com/sailboat-keels.html See More

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