Questions tagged [mathematics]
For engineering questions involving mathematics. For pure mathematics problems, please visit our sister site Mathematics Stack Exchange.
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Confusion in deriving von Karman equation for strip rolling
In the derivation for von Karman equation for metal strip rolling, an infinitesimal element is chosen as shown in the picture above. The equilibrium equation for the element is as follows:
Upon ...
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How to do maths for total gear ratio to predict 3D printed high torque high reduction planetary mesh generator?
I found a video of a guy lifting wheels and anvils using a 3D printed gearbox, so I've found a mesh generator that can rapidly produce custom gears based on that design.
I found a math walkthrough ...
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Finding Static Conditions from Total conditions
I am trying to create a code which determines the static properties of a flow given the total (stagnation) conditions, plus an area and mass flow rate. Since the velocity and as an extension, the mach ...
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Difficulty in understanding the trigonometry in applying the momentum equation for a stream tube
As far as I can understand the sum of the applied forces is the component of the weight of the fluid in the s direction and pressure forces. Looking at the diagram ...
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Utilizing Engineering Stack Exchange: Laplace Transform case study
I'm a new student to engineering. I've been investigating different means for learning material and investigating the discipline. I'm already familiar with using different professional organizations ...
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Method to calculate required gear size and teeth size for a rack system for a certain amount of travel?
high school amateur engineer- and first-time poster- here. I'm making a Nerf automatic springer system, and I want to model it. However, I don't know what size rack and gear system I need. I need 60 ...
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What are the advantages of using partial pivoting in Gaussian elimination compared to rounding off in solving systems of equations?
What's the advantage of using partial pivoting (alternative Gaussian elimination)? In this case, I can use it because if I approximate the result x2 to 1, I'll get strange solutions... But... what's ...
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How to derive the relation of a and b according to critical points (including compressibility factor) from Peng Robinson EoS
I've been trying to prove the relation of a and b according to critical points of PR EoS:
prove that a and b are: a = 0.457 (R^2T_c^2)/p_c , b=0.0778(RT_c)/p_c
I tried to prove it by doing the partial ...
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Which failure probability is low enough to be considered as 'will not happen'?
Like you will be fired/sued/shot if it happens.
I use 1 / 100 million / year (global catastrophes happen on Earth every 100 million years so it is likely no one will care about me)
But maybe there is ...
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Book claims one can derive USCS mass unit "slug" from temperature equation shown in screen shots below
In the screenshots below, the author claims that one can derive the mass unit "slug" by somehow using the equation shown in the first picture. I understand how could derive a slug if you ...
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Ideal axle diameter function derivation
I am interested in the reference of and any papers that discuss the derivation of the "ideal axle".
By an ideal axle I mean an axle that has the same strength along all its cross sections.
I ...
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Which way should angles be measured given a coordinate frame, according to convention?
I am building a 2D Electric unicycle model and have a somewhat trivial question concerning convention when defining a coordinate system. The EUC is constrained to move upon flat ground, and a figure ...
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Unit conversion error - Darcy Radius of Well Influence Equation
I'm having a little trouble. I'm trying to convert the answer from imperial to metric but can't seem to get the answer to match. I am using the formula attached (Darcy Radius of Well Influence ...
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Type of Lyapunov surfaces corresponding to a specific Lyapunov function
Consider the following Lyapunov candidate function:
$$ V(x,y,q_i) = \frac{1}{2}x^2 + \frac{1}{2}y^2 + \sum_{i=1}^{n}\ln\big(\cosh(q_{i})\big) \tag1$$
where $q_{i} = \sqrt{(x-x_{i})^2 + (y-y_{i})^2} - ...
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Creating a model of an unknown plant/control system
I am getting stuck on the math of control systems. I would like to represent my control system as a differential equation/model. Though many examples use constants which I dont seem to have.
I have a ...
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