In this paper, under the non.uniform transverse load, the problems of nonlinear bending for orthotropic rectangular plate are studied by using "the method of twovariable "~I1 and "the method of mixing perturbation "I21. The uniformly valid asymptotic solutions of Nth-order for ~ and Mth-oxder for ~, for o/thotropic rectangular plate with four clamped edges are obtained.Key words orthotropic rectangular plate; nonlinear bending, method of twovariable~ method of mixiiag perturbation, uniformly valid asymptotic solutions

In tiffs paper, we .~lmh flw recursive equalhms ulich, r flw recur.five houndurv comliHo,.~ /i~r W.m , qP.~) V~m and ~bnm (,=0. I. 2. "'.N: m= l. 2."'..Uj. which derived l)r ill(, "/wo-rw'iab/e method ~;q in the In'C(' ('di/~g l)ap('r I'I. We the, solrc th('w i>rM, h,m~ hv u.ving the methml of r('euh/r perturhatio/F -I. am/ tin' tmi/brm O valid O',Vmpll)li~ ~tdltliO/t i.~ ohtr Lastly u'r ('t.t.vider d /)articular c.va/n/fle, i.c. Ihc I,cm/in.t, proh/cm.~ qf the ..vATmmclrical circular plato hv u.~m~ "'the mired /;Cl'tltl'/~ttlit~lt tllcfhor "14l. ttltd uftlll/l[lt'(. ()~1t" i'['.Yll/t~ it~Ill t]H' ~'.Vr I 3tl/llti~ttl /tltltld ill Re'/.[5]. Thct ,re ~imihtrh" coinchh'd.

Abstract