can anyone help me to solve this equation ?. is this equation linear or not?(adsbygoogle = window.adsbygoogle || []).push({});

knowing, this equation represents the equation of motion for frame members for materials which have different moduli in tension and compression (civil engineering).

"EI" ("x,t" ) ("∂" ^"4" "u" ("x,t" ))/〖"∂x" 〗^"4" "-N" ("x" ) ("∂" ^"2" "u" ("x,t" ))/〖"∂x" 〗^"2" "+m" ("x,t" ) ("∂" ^"2" "u" ("x,t" ))/〖"∂t" 〗^"2" "=0"

In which,

EI depends on a roots of cubic equation, and t depends on ("∂" ^"2" "u" )/〖"∂t" 〗^"2" (acceleration)

boundary conditions:

at x=0, u=0 and at x=L, u=0

at t=0, u=0

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Partial differential equations

**Physics Forums | Science Articles, Homework Help, Discussion**