A weigh-in-motion system includes a base, a load cell assembly supporting a leading edge of a platform structure movable with respect to the base, and a load cell assembly supporting a trailing edge of the platform. A processor is configured to execute program instructions in a memory to obtain load profile data generated by the load cells and to determine a weight associated with a vehicle using the load profile data. The processor is further configured to execute the program instructions to generate an output based upon the determined weight.

A measurement method includes: a physical quantity acquisition step of acquiring, based on observation information obtained by at least one observation device that observes first to N-th observation points of a structure arranged along a second direction intersecting a first direction in which a moving object moves along the structure, physical quantities at the first to N-th observation points; and an action calculation step of calculating actions x.sub.1 to x.sub.N on the first to N-th observation points based on the acquired physical quantities at the first to N-th observation points, on the assumption that, when a function indicating a correlation between an action x.sub.j on a j-th observation point and an action that the action x.sub.j has on an i-th observation point is set as y.sub.ij, an acquired physical quantity at the i-th observation point is equal to a sum of values of functions y.sub.i1 to y.sub.iN.

A strip scale suitable for use in connection with high speed, in motion weighing applications. The scale has a base, a load cell, a compliant member, and a platform. Also disclosed are load cells for use with the scale, and systems and methods for using the scales.

A strip scale suitable for use in connection with high speed, in motion weighing applications. The scale has a base, a load cell, a compliant member, and a platform. Also disclosed are load cells for use with the scale, and systems and methods for using the scales.

Weigh-in-motion sensors comprise a beam including a plate with a load-bearing surface, and a tube portion including a base wall and a cover and defining a cavity therebetween. A sensing package is disposed within the cavity and is under pre-load with the cover and the base wall. The sensing package comprises a piezoelectric element. The base wall includes an aperture extending from a mounting surface to the cavity. The aperture includes a fastener therein to secure the sensing package within the cavity. The fastener is sized having a cross-section dimension taken through a center axis of the fastener that is greater than that of a cross-section dimension of the piezoelectric element taken along the fastener center axis. In an example, the fastener has a cross-section dimension sized about 10 percent or greater in dimension than that of the respective cross-section dimension of the piezoelectric element.

A measurement method includes: a step of acquiring first observation point information; a step of acquiring second observation point information; a step of calculating a path deflection waveform at a third observation point; a step of calculating a path deflection waveform at a central position between the first observation point and the second observation point; a step of calculating a measurement waveform as a physical quantity at the third observation point; a step of calculating an amplitude coefficient at which a difference is minimized between the measurement waveform and a waveform obtained by multiplying the path deflection waveform at the third observation point by the amplitude coefficient; and a step of calculating, based on the path deflection waveform at the central position and the amplitude coefficient, an estimation waveform as a physical quantity at the central position.

A measurement method includes: a step of acquiring first observation point information including a time point when each part of a moving object passes a first observation point and a physical quantity which is a response to an action; a step of acquiring second observation point information including a time point when the each part passes a second observation point and a physical quantity which is a response to an action; a step of calculating a deflection waveform of a structure generated by the each part; a step of adding the deflection waveforms to calculate a moving object deflection waveform, and calculating a path deflection waveform based on the moving object deflection waveform; a step of calculating a displacement waveform by twice integrating an acceleration of a third observation point; and a step of calculating, based on the path deflection waveform, a value of each coefficient of a polynomial approximating an integration error, and correcting the displacement waveform based on the value of each coefficient.

A measurement method includes: a step of acquiring, based on observation information obtained by an observation device, first observation point information including a time point when each of a plurality of parts of a moving object passes a first observation point of a structure and a physical quantity which is a response to an action of each of the plurality of parts on the first observation point; a step of acquiring, based on the observation information, second observation point information including a time point when each of the plurality of parts passes a second observation point and a physical quantity which is a response to an action of each of the plurality of parts on the second observation point; a step of calculating, based on the first observation point information, the second observation point information, a predetermined coefficient, and an approximate expression of deflection of the structure, a deflection waveform of the structure generated by each of the plurality of parts; and a step of calculating a deflection waveform of the structure generated by the moving object by adding the deflection waveform of the structure generated by each of the plurality of parts.

A measurement method includes: a step of calculating, using first observation point information and based on a time from a leading time point when a leading part of a moving object passes a first observation point to a time point when each of a plurality of part passes the first observation point, and a time from the leading time point to a time point when a total sum of first physical quantities, which are responses to an action of each of the plurality of part on the first observation point, is distributed at a predetermined distribution ratio, a correction coefficient that corrects the first physical quantities; a step of calculating a deflection waveform of a structure generated by the plurality of parts based on the first observation point information, second observation point information, a predetermined coefficient, the correction coefficient, and an approximate expression of deflection of the structure; and a step of calculating a deflection waveform of the structure generated by the moving object by adding the deflection waveform of the structure.

A measurement method includes: a physical quantity acquisition step of acquiring, based on observation information obtained by at least one observation device that observes first to N-th observation points of a structure arranged along a second direction intersecting a first direction in which a moving object moves along the structure, physical quantities at the first to N-th observation points; and an action calculation step of calculating actions x.sub.1 to x.sub.N on the first to N-th observation points based on the acquired physical quantities at the first to N-th observation points, on the assumption that, when a function indicating a correlation between an action x.sub.j on a j-th observation point and an action that the action x.sub.j has on an i-th observation point is set as y.sub.ij, an acquired physical quantity at the i-th observation point is equal to a sum of values of functions y.sub.i1 to y.sub.iN.