summaryrefslogtreecommitdiff
path: root/Oscillations_and_Waves_by_S_Prakesh/10-Waves_in_SolidsWaves_in_Solids.ipynb
diff options
context:
space:
mode:
authorPrashant S2020-04-14 10:25:32 +0530
committerGitHub2020-04-14 10:25:32 +0530
commit06b09e7d29d252fb2f5a056eeb8bd1264ff6a333 (patch)
tree2b1df110e24ff0174830d7f825f43ff1c134d1af /Oscillations_and_Waves_by_S_Prakesh/10-Waves_in_SolidsWaves_in_Solids.ipynb
parentabb52650288b08a680335531742a7126ad0fb846 (diff)
parent476705d693c7122d34f9b049fa79b935405c9b49 (diff)
downloadall-scilab-tbc-books-ipynb-master.tar.gz
all-scilab-tbc-books-ipynb-master.tar.bz2
all-scilab-tbc-books-ipynb-master.zip
Merge pull request #1 from prashantsinalkar/masterHEADmaster
Initial commit
Diffstat (limited to 'Oscillations_and_Waves_by_S_Prakesh/10-Waves_in_SolidsWaves_in_Solids.ipynb')
-rw-r--r--Oscillations_and_Waves_by_S_Prakesh/10-Waves_in_SolidsWaves_in_Solids.ipynb359
1 files changed, 359 insertions, 0 deletions
diff --git a/Oscillations_and_Waves_by_S_Prakesh/10-Waves_in_SolidsWaves_in_Solids.ipynb b/Oscillations_and_Waves_by_S_Prakesh/10-Waves_in_SolidsWaves_in_Solids.ipynb
new file mode 100644
index 0000000..1c5c0c0
--- /dev/null
+++ b/Oscillations_and_Waves_by_S_Prakesh/10-Waves_in_SolidsWaves_in_Solids.ipynb
@@ -0,0 +1,359 @@
+{
+"cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 10: Waves in SolidsWaves in Solids"
+ ]
+ },
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 10.10: frequency.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Example 10 // Frequencies\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"//given data :\n",
+"l=2;// in m\n",
+"v=3560;// in m/s\n",
+"r=0.004;// in m\n",
+"k=r/2;\n",
+"v1=%pi*v*k*3.011^2/(8*l^2);\n",
+"disp(v1,'The frequency,v1(Hz) = ')\n",
+"v2=%pi*v*k*5^2/(8*l^2);\n",
+"disp(v2,'The frequency of first overtone,v2(Hz) = ')\n",
+"v3=%pi*v*k*7^2/(8*l^2);\n",
+"disp(v3,'The frequency of second overtone,v3(Hz) = ')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 10.11: frequency.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Example 11 // Frequency\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"//given data :\n",
+"Y=7.1*10^10;// in N/m^2\n",
+"p=2.7*10^3;// in kg/m^3\n",
+"r=0.005;// in m\n",
+"vu=sqrt(Y/p);\n",
+"k=r/2;\n",
+"v=vu/(2*%pi*k);\n",
+"disp(v,' The frequency,v(Hz) = ')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 10.1: youngs_modulus.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Example 1 // Young's modulus of steel\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"//given data :\n",
+"p=7.8*10^3;// in kg/m^3\n",
+"v=5200;// m/s\n",
+"Y=p*v^2;\n",
+"disp(Y,'Young modulus of steel,Y(N/m^2) = ')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 10.2: wavelength_and_velocity.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Example 2 // Velocity and wavelength\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"//given data :\n",
+"Y=8*10^10;// in N/m^2\n",
+"p=5000;// in kg/m^3\n",
+"v=sqrt(Y/p);\n",
+"disp(v,'(1). The velocity,v(m/s) = ')\n",
+"f=400;// in vibration/sec\n",
+"lamda=v/f;\n",
+"disp(lamda,'(2). The wavelength,(m) = ')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 10.3: velocity_and_wavelength.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Example 3 // Velocity and wavelength\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"//given data :\n",
+"Y=7*10^10;// in N/m^2\n",
+"p=2.8*10^3;// in kg/m^3\n",
+"v=sqrt(Y/p);\n",
+"disp(v,'(1). The velocity,v(m/s) = ')\n",
+"f=500;// in vibration/sec\n",
+"lamda=v/f;\n",
+"disp(lamda,'(2). The wavelength,(m/s) = ')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 10.4: youngs_modulus.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Example 4 // Young's modulus\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"//given data :\n",
+"l=3;// in m\n",
+"n=600;// in Hz\n",
+"p=8.3*10^3;// in kg/m^3\n",
+"Y=p*n^2*(2*l)^2;\n",
+"disp(Y,'Youngs modulus,Y(N/m^2) = ')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 10.5: frequency.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Example 5 // Frequency\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"//given data :\n",
+"Y=2*10^11;// in N/m^2\n",
+"p=8*10^3;// in kg/m^3\n",
+"l=0.25;// in m\n",
+"n=sqrt(Y/p)/(2*l);\n",
+"disp(n,'The frequency,n(vibrations/s) = ')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 10.6: AREA.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Example 6 // Area of cross section\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"//given data :\n",
+"n1BYn2=20;\n",
+"T=20*9.8;// in N\n",
+"Y=19.6*10^10;// in N/m^2\n",
+"alfa=n1BYn2^2*T/Y;\n",
+"disp(alfa,'Area of cross section,alfa(m^2) = ')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 10.7: velocity.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Example 7 // Velocity and Young modulus\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"//given data :\n",
+"n=2600;// in Hz\n",
+"l=1;// in m\n",
+"p=7.8*10^3;// kg/m^3\n",
+"v=2*n*l;\n",
+"disp(v,'The velocity,v(m/s) = ')\n",
+"Y=v^2*p;\n",
+"disp(Y,'Youngs modulus,Y(N/m^2) = ')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 10.8: frequency.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Example 8 // Frequencies\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"//given data :\n",
+"Y=7.1*10^10;// in N/m^2\n",
+"p=2700;//in kg/m^3\n",
+"l=1.5;// in m\n",
+"r1=1;\n",
+"r2=3;\n",
+"r3=5;\n",
+"n1=(r1/(4*l))*sqrt(Y/p);\n",
+"n2=(r2/(4*l))*sqrt(Y/p);\n",
+"n3=(r3/(4*l))*sqrt(Y/p);\n",
+"disp(n1,'frequency of first harmonic,n1(Hz) = ')\n",
+"disp(n2,'frequency of first harmonic,n1(Hz) = ')\n",
+"disp(n3,'frequency of first harmonic,n1(Hz) = ')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 10.9: frequency.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Example 9 // Frequency\n",
+"clc;\n",
+"clear;\n",
+"close;\n",
+"//given data :\n",
+"l=1.2;// in m\n",
+"v=5150;// in m/s\n",
+"d=0.006;// in m\n",
+"k=d/sqrt(12);\n",
+"v1=%pi*v*k*3.011^2/(8*l^2);\n",
+"disp(v1,'The frequency,v1(Hz) = ')"
+ ]
+ }
+],
+"metadata": {
+ "kernelspec": {
+ "display_name": "Scilab",
+ "language": "scilab",
+ "name": "scilab"
+ },
+ "language_info": {
+ "file_extension": ".sce",
+ "help_links": [
+ {
+ "text": "MetaKernel Magics",
+ "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
+ }
+ ],
+ "mimetype": "text/x-octave",
+ "name": "scilab",
+ "version": "0.7.1"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}