Calculation

Formula Compilation

Formula Compilation

Formulas used to calculation the application of our products.

Amplitude s0

Ferr in N
c in N/M
m in kg
ω in s-1

Unit: m

S 0 = F e r r C m × ω 2

Isolation D

V err in min -1
V e in min -1

Unit: db

D = 201 g [ ( V e r r V e ) 2 1 ]

Damping

mechanical dissipation factor d

d = tan δ

Compressive strain σ for shock load

m in kg
g in 9.81 m/s2
b, l in mm

Unit: N/mm2

σ = m s t a t × a × g b × l

Natural frequency fe

general
c in N/mm
m in kg

Unit: Hz

f e = 1 2 × π × c m × 1000

From static spring deflection

SsubA in cm

Unit: Hz

f e = 5 S s u b A

Natural vibration frequency Ve

general
c in N/mm
m in kg

Unit: min-1

V e = 30 π × c m × 1000

From static spring deflection

SsubA in cm

Unit: min-1

V e = 300 S s u b A

From the degree of isolation
V err in min -1

Unit: min-1

V e e r f = V e r r × 1 η 2 η

natural vibration frequency
for shock isolation with half-sine excitation
t0 in s

Unit: min-1

V e e r f = 15 × a z u l a 0 × t 0

If v is known
g in 9,81 m/s2
v in m/s

Unit: min-1

V e e r f = 15 × g × a z u l V

With rectangular excitation
t0 in s

Unit: min-1 

V e e r f = 30 × a z u l π × a 0 × t 0

If v is known
g in 9,81 m/s2
v in m/s

Unit: min-1

V e e r f = 30 × g × a z u l π × V

Spring rate c

From natural vibration frequency Ve
V e in min -1
m in kg

Unit: N/m

C = ( V e × π 30 ) 2 × m

Increase in spring deflection D s

S6 in mm

Unit: mm

Δ S K × S 6 × n

Impedance Z∞

E in N/mm2
ρ in g/cm3
c in m/s

Unit: Pa x s/m

Z = E × ρ × 10 9 = c × ρ × 10 3

Impedance leap p

p Z 1 Z 2 E 1 × ρ E 2 × ρ c 1 × ρ 1 c 2 × ρ 2

Degree of isolation η

err in min -1
V e in min-1

η = 1 1 ( V e r r V e ) 2 1

Creep K

D s in mm
s6 in mm

K = Δ S S 6 × n

Reflected structure-borne sound intensity R

R = ( p 1 ) 2 ( p + 1 ) 2

Net/residual acceleration aR

for shock isolation with half-sine excitation
V e in min -1
t0 in s

Unit: m/s2

a R = g × V e × a 0 × t 0 15

If v is known
V e in min -1
v in m/s
g in 9,81 m/s2

Unit: m/s2

a R = V e × v 15

With rectangular excitation
V e in min -1
t0 in s

Unit: m/s²

a R = π × g × V e × a 0 × t 0 30

If v is known
V e in min -1
v in m/s
g in 9,81 m/s2

Unit: m/s2

a R = π × V e × v 30

Transmitted force F u

Ferr in N
V err in min -1
V e in min -1

Unit: N

F u = F e r r ( V e r r V e ) 2 1