Draw a schematic of the Maxwell spring-dashpot model and explain the short time vs long time response of a Maxwell material.
Draw a schematic of the Maxwell spring-dashpot model and explain the short time vs long time...
.1 A visco-elastic material is described by means of a Maxwell model. The model consists of a linear dashpot, with damping coefficient c in series with a linear spring, with spring constant c (see figure below. The numerical values for the material properties are: INc Cn 0.8 104[Ncs] 8 104 (a) (b) Derive the differential equation for this model. Give the response for a unit step in the strain. Make a drawing of the response (c) The material is subjected...
2 Calculate the strain response for the spring-dashpot model shown below, under a constant stress of 10 MPa, at time. t = 0.100, 200, 300 and 400 hours. E, = 5 GP I n = 500 GPa-hours
1. (6 pt) Assume that we apply the following extension to Maxwell model or standard linear solid model (3 elements): 0 80008 Maxwell model Standard linear solid model (a) Assume Maxwell model. If we assume T is very small, how would stress look like at t = T? What if T is very large? Hint: if deformation is very slow, a dashpot acts as a severed string (no connection). By contrast, if deformation is very fast, a dashpot acts as...
Harmonic response of the Maxwell element The Maxwell element for modeling a viscoelastic system treats it as a spring and a viscous dashpot connected in series as shown in the diagram below. The red arrows indicate the direction that the stress is applied. E and η are the Young's modulus of the spring and the viscosity of the dashpot component, respectively. Both parameters are real constants and characterize the model completely. dashpot spring (a) Show that the time rate of...
please explain e through j 2. Choose the best model (a-e) for each of the following. (2 pts each) Maxwell element (b) (c) Dashpot element > PILT Stres Kelvin element Con 000000 Spring element 0 = constant = constant O = constant 0 = constant E = constant E = constant u E. Cork Maxwell F HI - G -
A viscous dashpot dε/dt= µσ is connected in series with a non-linear spring σ= Eε-(aε)2 where µ, a and E are constants. Determine the relaxation behavior for the model (ε as a function of σ). Draw the relaxation behavior for the non linear model (σ as a function of t) in a plot.
please explain why the graphs are that way as well, thank you! The first grid shows the position vs time for a model car. On the second grid sketch the velocity 2. vs time for this model car. X t t 3. Which position vs time graph goes with the velocity vs time graph represented here? AK X 7 (c) The first grid shows the position vs time for a model car. On the second grid sketch the velocity 2....
11. A possible grade of the binder with the following Bending Beam Rheometer (BBR) data (after short- and long-term aging) is: Creep S (MPa) m-value Stiffness and m-value at -12°C 220 0.360 Stiffness and m-value at -18°C 267 0.334 Stiffness and m-value at -24°C 323 0.289 a. PG 58-34 b. PG 64-24 c. PG 70-28 d. PG 70-18 14. The best model of material behavior for characterizing the relaxation modulus of asphalt concrete is: a. two springs in series b....
Pageく ) of Problem3 (45 pts. A cylindrical specimen of asphalt concrete with a 4-inch diameter and a 6- inch height is subjected to an axial compressive static load of 150 lb for 1 hour, after which the load is removed. The test was performed at a temperature of 100°F. Plots of stress versus time and strain versus time during the loading are given below. Is this material elastic or viscous? Explain. (10 pts.) How do you describe the mechanical...
Using a graphical illustration of the standard Malthusian growth model, explain and show the short-run and long-run effects of a one-time deadly disease killing a large fraction of the population? Would your answers be different if the disease becomes permanent? (Consider that the economy was initially at its steady-state prior the health shock and the disease has negligible effects on the birth rate)Using a graphical illustration of the standard Malthusian growth model, explain and show the short-run and long-run effects...