This　paper　utilizes　the　TIMP　(Transplanting　ICM　Ideas　into　Material　with　Penalization)　method　to　solve　topology　optimization　problems　of　plate　structures　with　displacement　constraints　under　multiple　loading　cases.　Two　basic　perspectives　embedded　within　the　TIMP　method　are　that,　(1)　one　more　penalty　function　is　added　besides　the　Young＇s　modulus　penalty　function　by　transplanting　the　ICM　ideas　and　progresses　into　the　SIMP　(Solid　Isotropic　Material　with　Penalization)　method,　and　(2)　the　definition　of　the　artificial　material　design　variables,　as　well　as　the　idea　of　penalization　on　materials,　is　inherited　from　the　SIMP　method.　Based　on　the　TIMP　method,　complex　topology　optimization　problems　with　displacement　constraints　are　expressed　explicitly　by　using　the　element　weight　and　Young＇s　modulus　penalty　functions,　and　the　nonlinear　programming　algorithm　is　used　to　get　solutions.　Displacement　filtering　is　employed　to　eliminate　the　mesh-dependency　and　checkerboard　issues,　and　the　coarse　selection　of　quasi-active　constraint　strategy　is　adopted　to　select　active　constraints　and　improve　the　computing　efficiency.　The　whole　solution　development　process　is　implemented　into　a　secondary　development　software　based　on　the　Abaqus　software　by　its　script　language　Python.　Two　problems　with　a　single　loading　case　and　two　problems　with　multiple　loading　cases　are　addressed　on　this　secondary　development　software.　The　effects　of　using　linear　and　nonlinear　element　weight　penalty　functions　on　the　convergence　speed　are　observed　through　these　numerical　problems.　The　results　demonstrate　that　the　TIMP　method　is　effective　to　undertake　complex　topology　optimization　problems　with　displacement　constraints　under　multiple　loading　cases.