“…Nomenclature a = initial compression of L-spring in generalized-hybrid momentum exchange impact damper model, m c f = viscous damping coefficient between masses and surface of the ground, N · s∕m c f; 2 = viscous damping coefficient between base and surface of the ground, N · s∕m c f; 3 = viscous damping coefficient between upper gear and surface of the ground, N · s∕m c l = viscous damping coefficient between base and linear guide in base-extension separation mechanism model, N · s∕m d = stretched length of spring at t equal to T 2 , m E g = energy absorbed by ground damping, J E loss = energy increment of base caused by separation delay, J E 0 = initial energy of base-extension separation mechanism system, J F = maximum force of actuator in generalized-hybrid momentum exchange impact damper model, N f 1 = initial tension of spring in practical base-extension separation mechanism model (upper part of the spring), N f 2 = initial tension of spring in practical base-extension separation mechanism model (lower part of the spring), N Gs = transfer function of second-order low-pass Butterworth filter g = gravitational acceleration, m∕s 2 h r = maximum rebound height of base, m h 0 = initial fall height of base, m k f = stiffness between masses and surface of the ground, N∕m k f; 2 = stiffness between base and surface of the ground, N∕m k f; 3 = stiffness between gear and surface of the ground, N∕m k g = stiffness between gear and surface of the ground in practical base-extension separation mechanism model, N∕m k l = stiffness of L-spring in generalized-hybrid momentum exchange impact damper model, N∕m k s = spring constant in theoretical base-extension separation mechanism model, N∕m k s1 = upper part of spring constant in base-extension separation mechanism model, N∕m k s1−A = upper part of spring constant in base-extension separation mechanism model when spring is not sufficiently stretched, N∕m k s1−B = upper part of spring constant in base-extension separation mechanism model when spring is sufficiently stretched, N∕m k s2 = lower part of spring constant in base-extension separation mechanism model, N∕m k s2−A = lower part of spring constant in base-extension separation mechanism model when spring is not sufficiently stretched, N∕m k s2−B = lower part of spring constant in base-extension separation mechanism model when spring is sufficiently stretched, N∕m k u = stiffness of U-spring in generalized-hybrid momentum exchange impact damper model, N∕m l eb = length between extension and base in base-extension separation mechanism model when they are attached, m l g = gear length in base-extension separation mechanism model, m l ns = natural length of spring in base-extension separation mechanism model, m l p = length of pre-tension in base-extension separation mechanism model, m l st = stroke length of spring in base-extension separation mechanism model, m l u = natural length of U-spring in generalized-hybrid momentum exchange impact damper model, m m b = mass of body in generalized-hybrid momentum exchange impact damper model, kg m l = mass of L-damper in generalized-hybrid momentum exchange impact damper model, kg m u = mass of U-damper in generalized-hybrid momentum exchange impact damper model, kg m 1 = mass of extension in base-extension separation mechanism model, kg m 2 = mass of base in base-extension separation mechanism model, kg m 3 = mass of upper gear in base-extension separation mechanism model, kg m 4 = mass of lower gear in base-extension separation mechanism model, kg m …”