componentLibrary/hydraulics/accumulators/SpringLoadedAccumulator - MapleSim Help
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Spring Loaded Accumulator

Hydraulic accumulator with spring-loaded back pressure

 

Description

Equations

Variables

Connections

Parameters

Description

The Spring Loaded Accumulator component consists of a preloaded spring, a piston, and a hydraulic chamber connected to a hydraulic port. When the fluid pressure at the port exceeds the preloaded spring pressure, fluid flows into the chamber, moving the piston and compressing the spring. The amount of fluid stored in the accumulator depends on the size and spring load. The stroke of the piston is restricted by end cushion parameters used to set the boundary of the component respectively.

Equations

arel=dvreldt vrel=dsreldt

fspring=Appreloadcsreldvrel

fc1&equals;{0srel<LmaxcESsrelLmaxotherwise fc2&equals;{00srelcESsrelotherwise

fd1&equals;{0srel<LmaxdESdsreldtotherwise fd2&equals;{00sreldESdsreldtotherwise

fe1&equals;{0fc1&plus;fd10fc1&plus;minfc1&comma;fd1otherwise fe2&equals;{00fc2&plus;fd2fc2&plus;maxfc2&comma;fd2otherwise

p&equals;pA

q&equals;qA&equals;Avrel

vrel&equals;dsreldt

fchamber&equals;pA

marel&equals;fchamber&plus;fspringfe1fe2

Variables

Name

Units

Description

Modelica ID

p

Pa

 

p

q

m3s

 

q

srel

m

Relative distance of the piston from the initial position

s_rel

vrel

ms

Relative velocity of the piston

v_rel

arel

ms2

Relative acceleration of the piston

a_rel

Connections

Name

Description

Modelica ID

portA

Hydraulic port

portA

Parameters

Geometry

Name

Default

Units

Description

Modelica ID

A

0.01

m2

Wetted area of piston

A

m

0.1

kg

Mass of the piston

m

Lmax

0.4

m

Maximum stroke length of the accumulator

Lmax

Hard Stop

Name

Default

Units

Description

Modelica ID

cES

1·1010

Nm

Hard stop stiffness

c_ES

dES

1·106

Nsm

Hard stop damping

d_ES

Spring

Name

Default

Units

Description

Modelica ID

c

1·104

Nm

Spring constant

c

d

0

Nsm

Piston viscous friction coefficient

d

Preload Conditions

Name

Default

Units

Description

Modelica ID

ppreload

1·105

Pa

Spring preload pressure

p_preload

See Also

Accumulators

Hydraulics Library