There are several methods, including using an old solution, constraint-based design, topological synthesis, Freedom, Actuation, and Constraint Topologies (FACT), and Transmission Theory (a major contribution from my Master's thesis.) FACT is an intuitive and powerful tool for flexure design. These specifications will aid the choice in flexure topology.įlexure concepts can be generated once the kinematics have been identified. That is, the required ranges of motion in the degrees of freedom and constraint should be specified. Once the degrees of freedom are identified, they should be characterized. Keep in mind that the flexures that you design will not be infinitely stiff in the constraint directions, but if designed properly will be orders of magnitude stiffer than the degrees of freedom. Every rigid body has six degrees of freedom: three for translation and three for rotation. That is, it may be easiest to identify which directions are undesirable for travel. Conversely, you could find the desired constraints first. These are the desired directions of travel. The first step in flexure design is to identify the degrees of freedom. Flexures are typically modeled using FEA, which is the subject of another entry. That way, you can change one variable at a time and see how that affects the entire system. Once the equations are developed, you should put these variables in a MATLAB script or an Excel spreadsheet. How short can I make this beam so that it can be at 30% of the yield stress? The model should answer questions like that, keeping real-world constraints in mind.īy carefully applying these equations to your system, you should have a decent approximation for its behavior. In other words, the model shows you which direction to go and by how much. There should be a pencil-and-paper approximation that allows you to see which variables are most important and it gets you in the ballpark of the correct dimensions. The functional requirements for flexures include (but are not limited to): desired kinematics, range of motion, stiffness, load capacity, repeatability, mode shapes/frequencies, and an error budget.ĭesigning flexures involves developing a model, using FEA, and experimentally verifying the models. This entry is about understanding the most important parameters for flexure design. These well-designed, well-understood springs can then be implemented in precision machines to allow the development of medical devices and machines for electronic fabrication. Flexures are important for engineers because they allow stiction-less, controlled, limited-range motion. This allows engineers to provide motion in desired directions, but constraint in other directions. The arrangment of beams can be designed to be compliant in its degree(s) of freedom (DOF), but relatively stiff in its degree(s) of constraint (DOC). I'm going slightly crazy because I can't find it in the book, and I've been looking online for a long time.Contents 1 Introduction 2 Desired Kinematics 3 Concept generation 3.1 Using an old solution 3.2 Constraint-Based Design 3.3 Topological Synthesis 3.4 FACT 3.5 Transmission Theory 4 Range of Motion 5 Stiffness 6 Load Capacity 7 Dynamics 8 Fatigue 9 Repeatability 10 Error Budget 11 Optimization 12 Fabrication 1 Introductionįlexures are bearings that allow motion by bending load elements such as beams. The problem is I don't know another fomula to figure out what P is. So I know I, E, and L, but I still have two unknowns, P and D. I found the modulus of elasticity for luam plywood on the internet (after an hour of looking) and it is 1,500,000
So, the formula I think I need to use for deflection is It will be simply supported on each end and a load will be placed in the center. The assignment is to to say how far the beam will deflect, and what load will cause the beam to fail. I decided to cut the plywood into (4) 2" pieces and use wood glue to glue them together so it's dimensions are 1"x2"x24". We were assigned to design a beam made of luam plywood out of a sheet 24" x 8" x 1/4". I hope someone can help me because I'm going crazy! I'm an architecture student taking a required engineering class, and it's pretty challenging for me. I posted this again here because I just realized there was an engineering forum here too.
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