OfconcernisaviscoelasticbeammodelledusingtheTimoshenkotheory.Itiswell-knownthatthesystemisexponentiallystableifthekernelinthememorytermissub-exponential.Thatis,iftheproductofthekernelwithanexponentialfunctionisasummablefunction.Inthisarticleweaddressthequestions:Whatifthekernelistestedagainstadifferentfunction(sayGamma)otherthantheexponentialfunction?Wouldtherestillbestability?Intheaffirmative,whatkindofdecayrateweget?Itisprovedthatforanon-decreasingfunction'Gamma'whose'logarithmicderivative'isdecreasingtozerowehaveadecayoforderGammatosomepowerandinthecaseitdecreasestoadifferentvaluethanzerothenthedecayisexponential.
