//CHAPTER 6 _ PRESSURE AND SOUND MEASUREMENT //Caption : Elastic Transducers // Example 3 // Page 337 Sa=1000 disp("Sa=1000") //('Enter the sensitivity of LVDT =:') //Properties of diaphragm E=200*10^9 //('Enter the value of modulus of elasticity=:') disp("E=200*10^9 ") v=0.3 //('Enter the Poissons ratio=:') disp("v=0.3 ") d=0.2 //('Enter the diameter of diaphragm=:') disp("d=0.2 ") R=d*(1/2); P_max=2*10^6 //('What is the maximum pressure?') disp("P_max=2*10^6 ") p=7800 //('What is the density of steel?') disp("Thickness is given by:") disp("t=(3*P_max*R^4*(1-v^4)/(4*E))^(1/4);") t=(3*P_max*R^4*(1-v^4)/(4*E))^(1/4) T=t*1000; printf('Thickness is %1.1f mm\n',T) //To calculate the lowest pressure in kPa which may be sensed by this instrument , resolution and the natural frequency of the diaphragm y=.001 //('Enter the l)east value of measurement=:') p_min=(y*16*E*t^3)/(3*R^4*(1-v^2)*Sa) printf('So the minimum pressure and resolution is %d Pa \n',p_min) f=(10.21/R^2)*((E*t^2)/(12*(1-v^2)*p))^(1/2) printf('The natural frequency of diaphragm is %fd Hz',f)