00206190

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http://onlinepubs.trb.org...ubs/hrr/1963/39/39-001.pdf

THE FLEXURAL MOTION OF A LONG ROAD PAVEMENT OF UNIT WIDTH, VISCOUSLY DAMPED AND UNIFORMLY SUPPORTED BY AN ELASTIC SUBGRADE, WAS FOUND FOR THE CASE OF A STEADY, NORMAL, CONCENTRATED LOAD MOVING LONGITUDINALLY AT CONSTANT VELOCITY. DEFLECTIONS OF THE PAVEMENT WERE WRITTEN IN TERMS OF THE ROOTS OF THE CHARACTERISTIC EQUATION ASSOCIATED WITH THE EQUATION OF MOTION OF THE PAVEMENT. A DETAILED STUDY OF THE ROOTS DEMONSTRATED THAT THE SOLUTIONS FOR THE DEFLECTIONS FALL INTO THREE DISTINCT REGIMES DISTINGUISHED BY THE VALUE OF THE DISCRIMINANT OF THE FOURTH-ORDER CHARACTERISTIC EQUATION. IN TERMS OF THE CONCEPTS OF /A/ SUBGRADE DAMPING RATIO, /RATIO OF SUBGRADE DAMPING COEFFICIENT TO SUBGRADE CRITICAL DAMPING/ AND /B/ THE VELOCITY RATIO, /RATIO OF THE LOAD VELOCITY TO THE PROPAGATION VELOCITY OF A TRANSVERSE-DISPLACEMENT WAVE ALONG A FREELY VIBRATING, ELASTICALLY SUPPORTED PLATE OF UNIT WIDTH WITH ZERO DAMPING/, IT WAS FOUND THAT FOR LIGHT DAMPING IN THE SUBGRADE /SDR LESS THAN 0.7/ AN INCREASE IN THE VELOCITY OF THE LOAD TO THE VICINITY OF A VELOCITY RATIO OF UNITY PRODUCES AN INCREASE IN THE DYNAMIC VALUE OF THE MAXIMUM PAVEMENT DEFLECTION. FOR HEAVY DAMPING IN THE SUBGRADE /SDR GREATER, OR LESS THAN 0.7/ AND INCREASING LOAD VELOCITY, THE MAXIMUM DEFLECTION DECREASES FROM THE CORRESPONDING STATIC VALUE. THE LATTER RESULT IS OBSERVED TO BE IN ACCORDANCE WITH MEASUREMENTS THAT HAVE BEEN OBTAINED BY OTHERS. /AUTHOR/

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01410008

pp 1-24

1963

Highway Research Record

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Appendices (1) ; Figures (10) ; References (22)

Behavior; Damping (Physics); Deflection; Dynamic loads; Mathematical analysis; Measurement; Pavements; Subgrade (Pavements)

Longitudinal movement

Highways; Pavements

TRIS, TRB

Mar 3 1994 12:00AM

• A REVIEW OF SOIL-POLE BEHAVIOR
• BEARING CAPACITY OF DEEP FOUNDATIONS IN SAND
• BEARING CAPACITY OF FLEXIBLE PAVEMENTS SUBJECT TO FROST ACTION
• DYNAMIC PHENOMENA IN LAYERED STRUCTURES
• EFFECT OF STRUCTURE ON RESILIENT REBOUND CHARACTERISTIC OF SOILS IN THE PIEDMONT PROVINCE OF VIRGINIA
• EFFECTS OF REPEATED LOADING ON GRAVEL AND CRUSHED STONE BASE COURSE MATERIALS USED IN THE AASHO ROAD TEST
• LATERAL STABILITY OF RIGID POLES PARTIALLY EMBEDDED IN SAND
• VERTICAL STRESS UNDER CERTAIN AXISYMMETRICAL LOADINGS