Stack Exchange Network

Stack Exchange network consists of 174 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

Visit Stack Exchange

Questions tagged [mathematics]

The tag has no usage guidance.

0
votes
0answers
21 views

Constructing a proper Finite Difference Scheme for 3-dim function using data

$$f(x,y)$$ $f$ is unknown and I want to estimates its derivatives $$\frac{\partial f}{\partial y}, \frac{\partial f}{\partial x} \text{ and } \frac{\partial f}{\partial x^2}$$ from a data set. I have ...
0
votes
1answer
21 views

Statics problem: Finding resultant force angle measured counterclockwise from positive x-axis

I have this diagram: And I have done these calculations: $$\begin{align} R_x&=-20\sin(30)+30\cos(35)+80\cos(45)=71.14\text{ lb} \\ R_y&=20\cos(30)+30\sin(35)-80\sin(45)=-22.04\text{ lb} \end{...
1
vote
2answers
36 views

Example of real-life problem solved with numerical methods? [closed]

I hope this is a suitable question to ask here. Well, I'm taking Numerical Methods this semester (also called 'Numerical Analysis' in some places). The term-assignment is to find a real-life problem ...
0
votes
0answers
31 views

How do I figure out how much force a screw is applying to a wedge?

I am looking at Mitee-bite Uniforce clamps, model no.60750. How would i calculate the force applied by the wedge. So if the center bolt was tightened to 50 inch lbs. What would be the amount of ...
0
votes
0answers
33 views

Manufacturing line Efficency

This is my first post, if there is a different section this should be posted in please advise and I will move it. Here's my engineering problem, So I've recently run into a problem at work, and it ...
1
vote
1answer
37 views

Two intersecting prisms

Case 1 The development of Case 1 of this problem in which the axes of the prisms intersect at right angles, is shown in Diagram 1. Note that inter-edge lines are required for the development of both ...
0
votes
2answers
39 views

How to find the balance position of valve downstream a tank?

We have a tank which has a constant inflow of water (Qi). The level (h) of water in tank is controlled by opening/ closing (l) a valve downstream of the tank. Overflow height of the tank is 4 meter. I ...
0
votes
0answers
20 views

Doubt regarding relation between maximum of $||x||$ and $x^TAx$ with regards to attitude dynamics

I was dealing with 3-DOF attitude dynamics of rigid body and wanted to comment upon the following defined function $F$ at its maxima. Consider $F \in \mathbb{R} : F(e_{\Omega}(t)) = \frac{1}{2}e_{\...
1
vote
2answers
63 views

Working out RPM from car engine's lb ft?

Using an old copy of an automobile magazine, these are the cars with hp and lb ft I am trying to work out the RPM for: 2007 Honda Accord 2.4 sedan, 2.4-liter 187hp 4-cylinder, 164 lb ft pulling power ...
1
vote
0answers
18 views

Deriving a Time-Dependent Equation from a Surge Arrester for Transient Voltage Analysis

After looking through dozens upon dozens of IEEE papers, it seems that no one has really developed a simplified formula for a surge arrester. What I would like to be able to do is perform a transient ...
2
votes
2answers
50 views

Frequency Response of a Discrete System

Let's say that I have the following continuous system: $$G(s)= \frac{2}{1+s}$$ I could convert it to a discrete system using for example the Tustin approximation https://en.wikipedia.org/wiki/...
1
vote
1answer
26 views

impulse input and discontinuity in initial condition after

Consider a dynamical system as bellow that is subjected to an impulse input: $\sum_{n=0}^N {a_n x^{(n)}}= f_0 \delta(t-t_0)$ the initial values are non-resting (all non-zero): $x(t_0^-)=x_0\hspace{...
-1
votes
1answer
71 views

Is engineering basically controlling oscillators? [closed]

When an engineer optimizes a hoe to make an excavator, what do they actually do? I guess that when they see a room for improvement of the hoe, they start solving differential equations. But as the ...
2
votes
2answers
30 views

aircraft pursuit dynamic system state update

Planar Evasive Aircrafts Maneuvers Using Reinforcement Learning $$d=\sqrt{(x_m-x_e)^2+(y_m-y_e)^2}$$ $$\dot{d} = V_e \cos (\lambda-\Psi_e) - V_m \cos(\lambda-\Psi_m)$$ $$\lambda = \arctan\frac{x_e -...
2
votes
0answers
10 views

Complete symmetric distance matrix

Is there an intuitive way to approximate/estimate missing cells in a (symmetric) distance matrix? In this case, each unknown pair has several "neighbors" for which the distance is known.
2
votes
3answers
82 views

Is there any defined mathematical parameter that can give me the average distance of a volume to a point?

I'm currently trying to design a bulk-handling system which minimizes the distance from the bulk material pile(s) where the material is loaded (the volume) to the unloading platform(s) (the point), ...
3
votes
2answers
111 views

Second Moment of Inertia (or Second Moment of Area) of Beam Section

I need to calculate the moment of Inertia Iyz but I find 0 information online about how to get it or solve it in a real problem, only that is equal to $$\bar{I}_{yz}=\int yz\text{ d}A$$ How can I ...
2
votes
1answer
39 views

How to work out the damping or deflection curve from deflection angles?

I have a crane boom that is rotating and when it is stopped suddenly, the boom flexes back and fourth several times. I have measured the angles between each deflection and have $3.16 ^\circ$, $2.42 ^\...
0
votes
2answers
54 views

What is the condition of real eigen values other than symmetric matrix?

I have some difficulty to solve this question: What is the condition for real eigen values other than symmetric matrix?
5
votes
2answers
64 views

Does every engineering design needs to have a complete theoretical backing or may experimental data suffice?

This may sound rather vague on its own so I will explain with examples. The solid booster rockets used by NASA space shuttle used a central bore design because it had a certain characteristic on ...
1
vote
0answers
26 views

Boundary Conditions for a circular clamped plate

I've been trying to find the boundary conditions for a fourth order DE equation for a bending circular plate. I'm assuming angular symmetry and an even pressure distribution. Displacement Equation $$...
3
votes
3answers
53 views

Mathematical connection between systems of particles and rigid bodies

This question goes right back to the first principles of mechanics, so to speak. I'm confused as to the nature of forces applied to rigid bodies. Mathematically, a force acts on a particle of a known ...
0
votes
1answer
51 views

Convert angular acceleration from (S/100Hz) to (RPM/s)

I'm writing a script that converts from a customer's preferred unit of $\frac{RPM}{s}$ and a device's input/output of $\frac{s}{100Hz}$ My Logic is as follows: Converting $\frac{RPM}{s}$ to $\frac{s}{...
4
votes
1answer
28 views

How to apply static failure criteria for bending stress in an angled cylindrical surface?

Let’s say I have an irregularly shaped bearing with a cross section that looks like the angled surface of a conical frustum, shown below. If a bending moment is applied which causes the inside ...
0
votes
1answer
74 views

Laplace Equation — Heated Plate — Heat Flux Boundary Condition

I am having a problem with transferring the heat flux boundary conditions into a temperature to be able to put it into a matrix. I understand that deltat = deltax*q''/k but I do not know how to code ...
2
votes
1answer
141 views

Machine design problem

I am getting confused with the maths in the max distortion strain energy part of the question. Plus there is a misprint as the formula for distortion should be a^2 +b^2-2ab=(yield stress)^2, here they ...
2
votes
1answer
42 views

What exactly is a proportionality?

I thought I understood what a proportionality was, but it was recently called into question. I want to make sure I fully understand how the term is generally used in the engineering world. The basic ...
0
votes
0answers
39 views

1D heat equation for conduction with convective bounary conditions

I have a question related to the 1D heat equation. The equation I have is more complicated with additional terms. Capital T is temperature and is a function of x and t so written as T(x, t) where ...
0
votes
3answers
84 views

What program to implement mathematical models? [closed]

I am an engineering student and recently came upon some articles that provide numerical models that relate electromagnetic fields and temperature. I want to test out these numerical models but am ...
0
votes
1answer
47 views

Do triangular/area coordinates offer computational advantages for numerically integrated triangles?

Isoparametric triangular finite elements can be formulated using "triangular coordinates" $(\zeta_1, \zeta_2, \zeta_3)$, also sometimes called area/areal/barycentric coords, or using "Cartesian ...
1
vote
1answer
95 views

Is radius of gyration same for both types of moment of inertia?

We know that moment of inertia is commonly known as second moment of area. Which is $\int_{}{} y^2 dA$. However there another moment of inertia called as mass moment of inertia given by $\int_{}{} r^...
0
votes
2answers
90 views

Difference between partial derivatives and derivatives in physics [closed]

Please explain me the difference between $\lim_{x->0}\frac{\partial E}{\partial x}$ and $\lim_{x->0}dE/dx$.In physics I encountered something similar while reading about Newton's Law of Fluids....
5
votes
4answers
152 views

Is radians dimensionless quantity?

Quite often while calculating angular velocity we come across the quantity radians per second. Dimensionally how do i treat radian as?Explain vividly.
2
votes
0answers
97 views

How to integrate ∫vᵢ(uᵢ² + vᵢ²)dA in calculating monosymmetry index of an angle?

I saw this question asking about calculating monosymmetry index of an unequal angle. What I need is a formula to calculate $\int v_i{(u_i}^2 + {v_i}^2)\text{d}A$, given the depth $d$, breadth $b$ and ...
0
votes
0answers
24 views

Objectivity vs Symmetry for a Function

I'm learning about objectivity/frame invariance in continuum mechanics, but I'm having a little trouble grasping the concept. In the case of a scalar valued function $\phi: \mathbb{R}^3 \rightarrow \...
0
votes
0answers
26 views

Strain relations for axisymetric problems

I've seen on a book that the following relation holds for axisymmetric problems: $$\varepsilon_r=\varepsilon_{\theta}$$ where $\varepsilon_r$ and $\varepsilon_{\theta}$ are, respectively, the radial ...
-1
votes
1answer
60 views

Does engineering require extensive math? [closed]

I hope this question is okay for here. I've been interested in engineering for quite some time, but havent really ever had the motivation to do anything about it. I took a small principles of ...
1
vote
2answers
27 views

How to duplicate measurements from one piece of material to another?

I am not sure if this is the right place to ask this but. I have an offroad skateboard from MBS. I bought their brake system which comes with a circular piece of aluminum. Pictures attached. You can ...
2
votes
1answer
53 views

Wing as cantilever beam (beam-rod) model for aeroelasticity fluttering analysis

I recently bumbped into a rather basic but interesting question on aeroelasticity. I've learned to derive the fluttering critical speed from Pines's theory but it involves some spring stiffness like ...
0
votes
1answer
108 views

Darcy to SI permeation units

How can permeation units in Darcy be converted to the SI form. For example, how would 9.0 x 10-6 darcy be converted to SI units of permeation? How would it also be converted to the permeation units: (...
-1
votes
3answers
73 views

Graphene distribution over a sphere

How much graphene is required to coat a 5 inch (diameter) sphere if the graphene layer must be 35 nanometers thick?
0
votes
1answer
186 views

Two-way pulley system considering inertia of pulleys

This is the following question. [![This is how i tried, but I know it is wrong.][2]][2] This is our attempt but We can't seem to solve it with inertia.
1
vote
1answer
90 views

Two angular velocities on two segments connected by a hinge joint differ only by the joint angle velocity

I was reading this article called "Joint Axis and Position Estimation from Inertial Measurement Data by Exploiting Kinematic Constraints", but I'm not understanding one part, which doesn't let me ...
4
votes
2answers
161 views

3D Transformation Between Two Cartesian Coordinate Systems Using Euler Angles

I am trying to transform any arbitrary vector $\bf{v_{1}}$ in a Cartesian frame $\mathscr{F_{1}}$ into a different Cartesian frame $\mathscr{F_{2}}$. Both $\mathscr{F_{1}}$ and $\mathscr{F_{2}}$ have ...
0
votes
2answers
57 views

Center line of cut-off periodic signal

What I am after is the center line of this wave, which is 0. How can I calculate that value though? For example, run the code below for a simple example in Matlab. This will plot a simple sine wave ...
1
vote
2answers
93 views

Moments of inertia, rods mechanism

I need some assistance understanding moments of inertia. I am doing some review for an upcoming exam, however I am slightly stumped by this question. I have already tried googling "moments of inertia" ...
1
vote
0answers
316 views

Industrial applications of vector calculus [closed]

I'll be teaching vector calculus to mechatronics engineers, and I'd like to provide them with industrially relevant examples, especially of the use of vector fields. Can anyone suggest either an ...
0
votes
0answers
76 views

Realworld examples of limit cycles

I was wondering if there any any good examples of nonlinear systems that have limit cycles with some real world implications. Ideally they would be relatively well studied (enough so that I don't have ...
3
votes
2answers
602 views

Square wave transfer function?

I made a mathematical model (transfer function) of a rlc circuit. I simulated it in matlab simulink with step input and square wave input and observed the result. I can also calculate this system with ...
3
votes
1answer
136 views

Custom heavy guage machine table to support dryer

Background Looking to build a table for a dryer to fit inside a laundry closet. The table must be assembled inside the closet, as such it has three parts: two legs and a metal sheet for the table top....