Motions of a Constrained Spherical Pendulum in an Arbitrarily Moving Reference Frame: The Automobile Seatbelt Inertial Sensor | Zendy

A. Peter Allan | Zendy; Miles A. Townsend | Zendy

Open Access

Motions of a Constrained Spherical Pendulum in an Arbitrarily Moving Reference Frame: The Automobile Seatbelt Inertial Sensor

Author(s) -

A. Peter Allan,

Miles A. Townsend

Publication year - 1995

Publication title -

shock and vibration

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.418

H-Index - 45

eISSN - 1875-9203

pISSN - 1070-9622

DOI - 10.1155/1995/932938

Subject(s) - kinematics , constraint (computer aided design) , inertial frame of reference , pendulum , equations of motion , reference frame , control theory (sociology) , frame (networking) , motion (physics) , engineering , computer science , physics , classical mechanics , mechanical engineering , artificial intelligence , control (management)

A common automatic seatbelt inertial sensor design, comprised of a constrained spherical pendulum, is modeled to study its motions and possible unintentional release during vehicle emergency maneuvers. The kinematics are derived for the system with the most general inputs: arbitrary pivot motions. The influence of forces due to gravity and constraint torque functions is developed. The equations of motion are then derived using Kane's method. The equations of motion are used in a numerical simulation with both actual and hypothetical automobile crash data.

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