写一个计算叶片弯扭变形的C语言算法程序
时间: 2024-02-09 20:09:26 浏览: 28
以下是一个简单的计算叶片弯扭变形的C语言算法程序,供参考:
```
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#define PI 3.14159265358979323846
// 叶片结构体
typedef struct
{
double length; // 叶片长度
double width; // 叶片宽度
double thickness; // 叶片厚度
double E; // 弹性模量
double nu; // 泊松比
double rho; // 密度
double alpha; // 弯曲系数
double beta; // 扭转系数
} Blade;
// 计算叶片的弯曲和扭转变形
void calculateBladeDeflection(Blade *blade, double F)
{
double Ix, Iy, Iz, Kx, Ky, Kz;
double L = blade->length, W = blade->width, T = blade->thickness;
double E = blade->E, nu = blade->nu, rho = blade->rho;
double alpha = blade->alpha, beta = blade->beta;
double delta_x = L / 100, delta_y = W / 50, delta_z = T / 20;
double x, y, z, x1, y1, z1, x2, y2, z2, x3, y3, z3, x4, y4, z4;
double fx, fy, fz, Mx, My, Mz, Nx, Ny, Nz, Ux, Uy, Uz, Vx, Vy, Vz;
double u, v, w, xi, eta, zeta, dxi, deta, dzeta, J, N;
double **ux, **uy, **uz, **vx, **vy, **vz;
// 初始化网格
ux = malloc(101 * sizeof(double *));
uy = malloc(101 * sizeof(double *));
uz = malloc(21 * sizeof(double *));
vx = malloc(101 * sizeof(double *));
vy = malloc(101 * sizeof(double *));
vz = malloc(21 * sizeof(double *));
for (int i = 0; i <= 100; i++)
{
ux[i] = malloc(51 * sizeof(double));
uy[i] = malloc(51 * sizeof(double));
vx[i] = malloc(51 * sizeof(double));
vy[i] = malloc(51 * sizeof(double));
if (i <= 20)
{
uz[i] = malloc(11 * sizeof(double));
vz[i] = malloc(11 * sizeof(double));
}
}
for (int i = 0; i <= 100; i++)
{
x = delta_x * i;
x1 = x - delta_x / 2;
x2 = x + delta_x / 2;
for (int j = 0; j <= 50; j++)
{
y = delta_y * j;
y1 = y - delta_y / 2;
y2 = y + delta_y / 2;
for (int k = 0; k <= 20; k++)
{
z = delta_z * k;
z1 = z - delta_z / 2;
z2 = z + delta_z / 2;
ux[i][j] = 0;
uy[i][j] = 0;
vx[i][j] = 0;
vy[i][j] = 0;
if (k <= 10)
{
uz[i][k] = 0;
vz[i][k] = 0;
}
}
}
}
// 计算叶片的惯性矩和扭转刚度
Ix = W * T * T * T / 12;
Iy = L * T * T * T / 12;
Iz = L * W * W * W / 12;
Kx = E * Ix / (1 - nu * nu);
Ky = E * Iy / (1 - nu * nu);
Kz = E * Iz / (1 - nu * nu);
// 计算叶片的弯曲和扭转系数
alpha = pow(PI * PI * T * T * Kx / (rho * L * L), 0.25);
beta = pow(PI * PI * W * W * Kz / (rho * L * L), 0.25);
// 计算叶片的外力
fx = F / (L * W);
fy = 0;
fz = 0;
Mx = 0;
My = 0;
Mz = 0;
// 迭代求解
for (int n = 1; n <= 1000; n++)
{
for (int i = 1; i <= 99; i++)
{
x = delta_x * i;
for (int j = 1; j <= 49; j++)
{
y = delta_y * j;
for (int k = 1; k <= 19; k++)
{
z = delta_z * k;
x1 = x - delta_x / 2;
x2 = x + delta_x / 2;
y1 = y - delta_y / 2;
y2 = y + delta_y / 2;
z1 = z - delta_z / 2;
z2 = z + delta_z / 2;
x3 = x - delta_x;
x4 = x + delta_x;
y3 = y - delta_y;
y4 = y + delta_y;
z3 = z - delta_z;
z4 = z + delta_z;
u = ux[i][j];
v = vy[i][j];
w = uz[i][k];
xi = x / L;
eta = y / W;
zeta = z / T;
dxi = 1.0 / L;
deta = 1.0 / W;
dzeta = 1.0 / T;
J = L * W * T / 8;
N = rho * J;
Nx = -fx * J;
Ny = -fy * J;
Nz = -fz * J;
Mx = Mx + Nx * delta_x * delta_y;
My = My + Ny * delta_x * delta_y;
Mz = Mz + Nz * delta_x * delta_y;
Ux = alpha * xi + u;
Uy = alpha * alpha / beta * sin(beta * eta) + v;
Uz = w;
Vx = alpha * alpha / beta * beta * cos(beta * eta);
Vy = alpha * alpha / beta * beta * cos(beta * eta) + v;
Vz = w;
ux[i][j] = (Kx * (ux[i - 1][j] - 2 * u + ux[i + 1][j]) / (delta_x * delta_x) +
Ky * (ux[i][j - 1] - 2 * u + ux[i][j + 1]) / (delta_y * delta_y) +
Kz * (ux[i][j] - 2 * u + ux[i][j]) / (delta_z * delta_z) + Nx) / N;
uy[i][j] = (Kx * (uy[i - 1][j] - 2 * v + uy[i + 1][j]) / (delta_x * delta_x) +
Ky * (uy[i][j - 1] - 2 * v + uy[i][j + 1]) / (delta_y * delta_y) +
Kz * (uy[i][j] - 2 * v + uy[i][j]) / (delta_z * delta_z) + Ny) / N;
vz[i][k] = (Kx * (vz[i - 1][k] - 2 * w + vz[i + 1][k]) / (delta_x * delta_x) +
Ky * (vz[i][k - 1] - 2 * w + vz[i][k + 1]) / (delta_y * delta_y) +
Kz * (vz[i][k] - 2 * w + vz[i][k]) / (delta_z * delta_z) + Nz) / N;
}
}
}
}
// 输出结果
printf("Blade deflection:\n");
for (int i = 1; i <= 99; i++)
{
for (int j = 1; j <= 49; j++)
{
printf("%f ", sqrt(ux[i][j] * ux[i][j] + uy[i][j] * uy[i][j] + uz[i][10] * uz[i][10]));
}
printf("\n");
}
// 释放内存
for (int i = 0; i <= 100; i++)
{
free(ux[i]);
free(uy[i]);
free(vx[i]);
free(vy[i]);
if (i <= 20)
{
free(uz[i]);
free(vz[i]);
}
}
free(ux);
free(uy);
free(vx);
free(vy);
free(uz);
free(vz);
}
int main()
{
Blade blade;
blade.length = 1.0;
blade.width = 0.2;
blade.thickness = 0.01;
blade.E = 2.0e11;
blade.nu = 0.3;
blade.rho = 7800.0;
blade.alpha = 0.0;
blade.beta = 0.0;
double F = 10000.0;
calculateBladeDeflection(&blade, F);
return 0;
}
```
该程序采用有限元方法进行计算,输入叶片的几何参数、材料特性和外力,输出叶片在不同位置的弯曲和扭转变形。需要注意的是,该程序只是一个简单的示例程序,实际开发中需要根据实际需求进行修改和优化。