Redo Exercises 6.1.1-2 when the bottom support and spring are removed.
Exercise 6.1.1
A mass-spring chain consists of two masses connected to two fixed supports. The spring constants are c1 = c3 = 1 and c2 = 2.
(a) Find the stiffness matrix K.
(b) Solve the equilibrium equations K u = f when f = (4, 3)T.
(c) Which mass moved the farthest?
(d) Which spring has been stretched the most? Compressed the most?
Exercise 6.1.2
Solve Exercise 6.1.1 when the first and second spring are interchanged, c1 = 2, c2 = c3 = 1. Which of your conclusions changed?
(a) Find the stiffness matrix K.
(b) Solve the equilibrium equations K u = f when f = (4, 3)T.
(c) Which mass moved the farthest?
(d) Which spring has been stretched the most? Compressed the most?