To　stimulate　the　guided　or　interface　waves　in　adhesive　structures,　in　general　sound　waves　should　be　injected　into　a　multilayer　system　from　two　infinite　media　in　the　same　or　opposed　phase　at　the　same　time.　Aiming　at　this　issue,　based　on　the　matrix　method,　the　expressions　of　reflection　and　transmission　coefficients　for　longitudinal　and　transverse　waves　in　three-tier　plate-like　adhesive　structures　were　deduced　when　on　interfaces　there　is　perfect　connection　and　the　symmetric　or　anti-symmetric　longitudinal　waves　are　injected　from　upper　and　lower　infinite　spaces.　The　influences　of　the　incident　angle,　thickness　of　adhesive　layer　and　substrate　materials　etc　on　the　characteristics　of　acoustic　wave　reflection　(or　transmission)　were　analyzed.　The　results　show　that　when　the　symmetric　or　anti-symmetric　longitudinal　waves　are　vertically　incident,　the　conversions　of　wave　modes　do　not　occur.　The　reflection　(or　transmission)　characteristics　of　acoustic　waves　in　adhesive　structures　are　closely　related　to　the　incident　angle,　frequency,　thickness　of　adhesive　layer　and　other　parameters.　In　the　same　range　of　adhesive　layer　thickness　(or　frequency),　with　the　increase　of　the　sound　frequency　(or　adhesive　layer　thickness),　the　curves　of　resonant　frequency　tend　to　drift　towards　the　low　frequency.　The　proposed　method　can　be　used　as　an　important　theoretical　basis　for　the　research　on　transmission　characteristics　of　body　or　guided　waves　in　adhesive　structures.　©　2017,　Editorial　Office　of　Journal　of　Vibration　and　Shock.　All　right　reserved.