Is any standalone 2D program able to simulate mechanisms motion ?

For very simple mechanism, mostly for visualization and conceptualization, use Phun. Its free as well. However it is not for very hardcore analysis.

http://phun.en.softonic.com/

Try Silux http://www.silux.com/index.cfm

Analytix and Dynamix from Sailtre company, Working model 2D from www.design-simulation.com, DV3 (designview 3 from computervision) unfortunatelly there is no support and it not work on windows 7 - I tried it)

Thanks Robert. I tried to download SILUX but some problem occurred
"500 - Internal server error"

MechDesigner at www.psmotion.com. You have to 'buy' a trial version for $0.
It will anyalyse any mechanism and motion you need. It is 3D but will let you build in 2D if you add a mechansim to plane.

Try GrafiCalc http://www.graficalc.com

Try GrafiCalc http://www.graficalc.com

Linkage 3.0
http://blog.rectorsquid.com/linkage-3-0/
http://blog.rectorsquid.com/linkage-mechanism-designer-and-simulator/

ForceEffect™ Motion mobile app
https://itunes.apple.com/us/app/autodesk-forceeffect-motion/id512045820?mt=8
https://play.google.com/store/apps/details?id=com.autodesk.forceeffectmotion&hl=en
http://www.autodesk.com/mobile-apps

SAM
http://www.artas.nl/en/
http://synthetica.eng.uci.edu/SpecialSession/ASME-SS2.pdf