Page 27 - Singiresu S. Rao-Mechanical Vibrations in SI Units, Global Edition-Pearson (2017)

24 LISt oF SyMBoLS

Symbol Meaning SI Units

F t , F T force transmitted N
F t force acting on ith mass N
>
F force vector N
#
F, F impulse N s
∙
g acceleration due to gravity m/s 2
g(t) impulse response function
G shear modulus N/m 2
h hysteresis damping constant N/m
H1iv2 frequency response function
i 1-1
I area moment of inertia m 4
[I] identity matrix
Im() imaginary part of ()
j integer
J polar moment of inertia m 4
#
2
J, J 0 , J 1 , J 2 ,… mass moment of inertia kg m
k, k spring constant N/m
∙
k i spring constant of ith spring N/m
k t torsional spring constant N-m/rad
k ij stiffness coefficient N/m
[k] stiffness matrix N/m
l, l i length m
m, m mass kg
∙
m i ith mass kg
m ij mass coefficient kg
[m] mass matrix kg
M mass kg
#
M bending moment N m
#
M t , M t1 , M t2 ,… torque N m
#
M t 0 amplitude of M t (t) N m
n an integer
n number of degrees of freedom
N normal force N
N total number of time steps
p pressure N/m 2
p(x) probability density function of x
P(x) probability distribution function of x
P force, tension N
q j jth generalized coordinate
>
q vector of generalized displacements
>
q vector of generalized velocities
Q j jth generalized force