Compare commits

..

No commits in common. "ab3f353457b8e7b9a941cbd32c2dcc20e89cbb2f" and "17942cdbe5b8f23f5f37e461f3c0e3ce24c0f3e6" have entirely different histories.

9 changed files with 129 additions and 156 deletions

View File

@ -2,7 +2,7 @@ use fea::two_d::beam_elements::*;
use fea::two_d::*;
fn main() {
let student_id_last_digit = 9_f32;
let student_id_last_digit = 9 as f32;
let d = student_id_last_digit / 100.0;
let r = d/2.0;
let e = 210e9;
@ -38,47 +38,32 @@ fn main() {
id: 4,
pos: Vector(l * theta.cos(), l * theta.sin()),
bc: BoundaryCondition::Force(Vector::from_mag_angle(p, 45_f32.to_radians())),
beams: vec![],
beams: vec![]
};
let mut w = World::from(vec![p1, p2, p3, p4]);
w.link(
1,
4,
NewBeam {
w.link(1,4, NewBeam {
cross_section: CrossSection::Circular(r),
material: fea::Material {
yield_stress: 95e6,
youngs_modulus: e,
},
},
)
.unwrap();
w.link(
2,
4,
NewBeam {
}
}).unwrap();
w.link(2,4, NewBeam {
cross_section: CrossSection::Circular(r),
material: fea::Material {
yield_stress: 95e6,
youngs_modulus: e,
},
},
)
.unwrap();
w.link(
3,
4,
NewBeam {
}
}).unwrap();
w.link(3,4, NewBeam {
cross_section: CrossSection::Circular(r),
material: fea::Material {
yield_stress: 95e6,
youngs_modulus: e,
},
},
)
.unwrap();
}
}).unwrap();
println!("{:?}", w);
println!("{:?}", w.stiffness_matrix().unwrap());

View File

@ -1,4 +1,14 @@
pub mod beam_elements;
pub mod vector;
pub use vector::*;
#[derive(Debug)]
pub struct Vector(pub f32, pub f32);
impl Vector {
pub fn distance(&self, other: &Self) -> f32 {
((self.0 - other.0).powi(2) + (self.1 - other.1).powi(2)).sqrt()
}
pub fn from_mag_angle(magnitude: f32, angle: f32) -> Self {
Self (magnitude * angle.cos(), magnitude * angle.sin())
}
}

View File

@ -1,11 +1,25 @@
mod beam;
mod boundary_condition;
mod cross_section;
mod point;
mod world;
pub use beam::*;
pub use boundary_condition::*;
pub use cross_section::*;
pub use point::*;
pub use world::*;
use super::Vector;
use crate::Material;
#[derive(Debug)]
pub struct Point {
pub id: usize,
pub pos: Vector,
pub bc: BoundaryCondition,
pub beams: Vec<usize>,
}
#[derive(Debug)]
pub enum BoundaryCondition {
Free,
Fixed,
Force(Vector),
}

View File

@ -1,12 +1,9 @@
use super::*;
use crate::Material;
use std::cell::RefCell;
use std::rc::{Rc, Weak};
#[derive(Debug)]
pub struct Beam{
pub id: usize,
pub points: (Weak<RefCell<Point>>, Weak<RefCell<Point>>),
pub points: (usize, usize),
pub material: Material,
pub cross_section: CrossSection,
}
@ -17,47 +14,55 @@ pub struct NewBeam {
}
impl Beam {
pub fn new(p1: Weak<RefCell<Point>>, p2: Weak<RefCell<Point>>, props: NewBeam) -> Beam {
Beam {
pub fn new(p1: usize, p2: usize, props: NewBeam) -> Beam {
let b = Beam {
id: 0,
points: (p1, p2),
material: props.material,
cross_section: props.cross_section,
}
};
return b;
}
fn get_points(&self) -> (Rc<RefCell<Point>>, Rc<RefCell<Point>>) {
(
self.points.0.upgrade().unwrap(),
self.points.1.upgrade().unwrap(),
)
fn get_points<'a>(&self, world: &'a World) -> (&'a Point, &'a Point) {
let p1 = world.points.get(&self.points.0).unwrap();
let p2 = world.points.get(&self.points.1).unwrap();
(p1, p2)
}
pub fn stiffness(&self) -> f32 {
self.cross_section.area() * self.material.youngs_modulus / self.length()
pub fn stiffness(&self, world: &World) -> f32 {
let s = self.cross_section.area() * self.material.youngs_modulus / self.length(world);
println!("{:?} {}", self, s);
s
}
pub fn length(&self) -> f32 {
let (p1, p2) = self.get_points();
let (p1, p2) = (p1.borrow(), p2.borrow());
p1.pos.distance(&p2.pos)
pub fn length(&self, world: &World) -> f32 {
let (p1, p2) = self.get_points(world);
let l = p1.pos.distance(&p2.pos);
println!("{:?} {}", self, l);
l
}
pub fn angle(&self) -> f32 {
let (p1, p2) = self.get_points();
let (p1, p2) = (p1.borrow(), p2.borrow());
pub fn angle(&self, world: &World) -> f32 {
let (p1, p2) = self.get_points(world);
let dx = p1.pos.0 - p2.pos.0;
let dy = p1.pos.1 - p2.pos.1;
(dy/dx).atan()
}
pub fn other_point(&self, p: &Point) -> Option<Rc<RefCell<Point>>> {
let (p0, _) = self.get_points();
if p.id == p0.borrow().id {
self.points.1.upgrade()
pub fn other_point(&self, p: usize) -> usize {
if p == self.points.0{
return self.points.1;
} else {
self.points.0.upgrade()
return self.points.0;
}
}
}

View File

@ -1,8 +0,0 @@
use crate::two_d::Vector;
#[derive(Debug)]
pub enum BoundaryCondition {
Free,
Fixed,
Force(Vector),
}

View File

@ -9,10 +9,13 @@ pub enum CrossSection {
impl CrossSection {
pub fn area(&self) -> f32 {
match self {
let a = match self {
Self::Area(a) => *a,
Self::Circular(r) => PI * r.powi(2),
Self::Rectangular(l1, l2) => l1 * l2,
}
};
println!("{:?} {}", self, a);
a
}
}

View File

@ -1,12 +0,0 @@
use super::super::Vector;
use super::{Beam, BoundaryCondition};
use std::cell::RefCell;
use std::rc::Weak;
#[derive(Debug)]
pub struct Point {
pub id: usize,
pub pos: Vector,
pub bc: BoundaryCondition,
pub beams: Vec<Weak<RefCell<Beam>>>,
}

View File

@ -1,13 +1,11 @@
use super::*;
use ndarray::prelude::*;
use std::cell::RefCell;
use std::collections::HashMap;
use std::rc::Rc;
#[derive(Debug)]
pub struct World {
pub points: HashMap<usize, Rc<RefCell<Point>>>,
pub beams: HashMap<usize, Rc<RefCell<Beam>>>,
pub points: HashMap<usize, Point>,
pub beams: HashMap<usize, Beam>,
}
impl World {
@ -15,23 +13,22 @@ impl World {
let dof = self.points.len() * 2;
let mut a: Vec<f32> = vec![0.0; dof.pow(2)];
for point in self.points.values() {
let point = point.borrow();
for beam in &point.beams {
let beam = beam.upgrade().unwrap();
let beam = beam.borrow();
let other_point = beam.other_point(&point).unwrap();
let other_point = other_point.borrow();
// set up forces exerted by displacements of other beams
for (_point_id, point) in &self.points {
for beam_id in &point.beams {
let beam = self.beams.get(beam_id).unwrap();
let stiffness = beam.stiffness(self);
let other_point = self.points.get(&beam.other_point(point.id)).unwrap();
let ax = 2*(point.id-1);
let ay = ax + 1;
let bx = 2*(other_point.id-1);
let by = bx + 1;
let angle = beam.angle();
let angle = beam.angle(self);
println!("point: {} to point {} beam: {} beam_angle: {}", _point_id, other_point.id, beam.id, beam.angle(self).to_degrees());
let c2 = angle.cos().powi(2);
let s2 = angle.sin().powi(2);
let cs = angle.cos() * angle.sin();
let stiffness = beam.stiffness();
// F_AX += K_AB * c2 * (U_AX)
a[ax*dof + ax] += stiffness * c2;
@ -61,28 +58,22 @@ impl World {
pub fn link(&mut self, id1: usize, id2: usize, new_beam: NewBeam) -> Result<(), &str>{
let b_id = self.beams.len();
let p1 = match self.points.get(&id1) {
let p1 = match self.points.get_mut(&id1) {
Some(point) => point,
None => return Err("Point with id1 not found"),
};
let p2 = match self.points.get(&id2) {
p1.beams.push(b_id);
let p1_id = p1.id;
let p2 = match self.points.get_mut(&id2) {
Some(point) => point,
None => return Err("Point with id1 not found"),
};
let p2_id = p2.id;
p2.beams.push(b_id);
let b = Rc::new(RefCell::new(Beam::new(
Rc::downgrade(p1),
Rc::downgrade(p2),
new_beam,
)));
{
b.borrow_mut().id = b_id;
}
p1.borrow_mut().beams.push(Rc::downgrade(&b));
p2.borrow_mut().beams.push(Rc::downgrade(&b));
let mut b = Beam::new(p1_id, p2_id, new_beam);
b.id = b_id;
self.beams.insert(b_id, b);
Ok(())
@ -95,13 +86,10 @@ impl From<Vec<Point>> for World {
/// If this is not the case, then some points will be overriden.
fn from(points: Vec<Point>) -> World {
let mut points = points;
let mut w = World {
points: HashMap::new(),
beams: HashMap::new(),
};
let mut w = World { points: HashMap::new(), beams: HashMap::new() };
while let Some(point) = points.pop() {
w.points.insert(point.id, Rc::new(RefCell::new(point)));
w.points.insert(point.id, point);
}
w

View File

@ -1,12 +0,0 @@
#[derive(Debug)]
pub struct Vector(pub f32, pub f32);
impl Vector {
pub fn distance(&self, other: &Self) -> f32 {
((self.0 - other.0).powi(2) + (self.1 - other.1).powi(2)).sqrt()
}
pub fn from_mag_angle(magnitude: f32, angle: f32) -> Self {
Self(magnitude * angle.cos(), magnitude * angle.sin())
}
}