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BASED ON TRANSFER MATRIX THEORY AND PRECISE INTEGRATION METHOD, PRECISE INTEGRATION TRANSFER MATRIX METHOD (PITMM) IS ADVANCED TO RESEARCH FREE VIBRATION CHARACTERISTICS OF THE CONICAL SHELLS. THE INFLUENCES OF THE BOUNDARY CONDITIONS, THE SHELL THICKNESS AND THE SEMI-VERTEX CONICAL ANGLE ON VIBRATION CHARACTERISTICS ARE DISCUSSED. BASED ON FLÜGGE THIN SHELL THEORY AND TRANSFER MATRIX METHOD, FIELD TRANSFER MATRIX OF CONICAL SHELLS IS OBTAINED. ACCORDING TO THE BOUNDARY CONDITIONS AT ENDS OF THE CONICAL SHELL, NATURAL FREQUENCIES OF THE CONICAL SHELL ARE SOLVED BY PRECISE INTEGRATION METHOD. THE APPROACH OF STUDYING FREE VIBRATION CHARACTERISTICS OF THE CONICAL SHELLS IS OBTAINED. CONTRAST OF NATURAL FREQUENCIES FROM THE PAPER AND PREVIOUS LITERATURE, THE METHOD OF THE PAPER IS CONFIRMED. ON THIS BASIS, THE EFFECTS OF THE BOUNDARY CONDITIONS, THE SHELL THICKNESS AND THE SEMI-VERTEX CONICAL ANGLE ON VIBRATION CHARACTERISTICS ARE PRESENTED
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