Submitted:
13 June 2025
Posted:
16 June 2025
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Abstract
Keywords:
1. Introduction
- routine checks that are skipped because they look like a waste of time if the system is reliable;
- practices that become standard only because they have always done in the same way even if they are dangerous;
- double standards, in which workers know how to carry out an activity, but they also know that, for the organisation, efficiency comes first;
- believing that, as always, verifications have been done before by others and there is no need to check again;
- overlooking of issues, that despite having possible severe consequences, are considered as not important because workers got used to them.
2. Materials and Methods
2.1. Integration of Safety Cultures and Safety Detriment in Resonance Analysis
- Thoroughness, which prioritises accuracy and control, where functions are executed with full attention to procedures, safety checks, and environment;
- Risk Awareness, in which an organisation is aware that a proactive approach is required but settles to reasonably achievable standards. It represents a flexible balance between thoroughness and feasibility, where operators still aim to reduce risk as much as possible, but begin to consider workload, time constraints [26], and operational demands;
- Compliance, in which the focus shifts to meeting minimum legal requirements. Safety is maintained to comply with regulations and functions omit non-mandatory checks or redundancy measures. Formally acceptable, this working mode still has vulnerabilities especially to hidden sources of external variability;
- Efficiency, that reflects a performance-oriented working mode where productivity and task completion often override safety considerations. Performance adjustments become aggressive and safety checks can be bypassed as risks become normalised like part of the job. Efficiency operations often emerge under high pressure and are susceptible to functional resonance, especially when background stressors are largely present.
2.2. Severity Assessment
2.3. Variability Propagation, Hot Spots and Resonance Index
- maximum values for internal variability (I=5.06) would have the same weight of maximum severity (S=5);
- standard internal variability functions (I=1.00) would have the same weight of minor severity events (S=1);
- a minor severity event (S=1), with maximum internal variability (I=5.06), would be weighted slightly more than a fatal event (S=5) with standard internal variability (I=1.00);
- a moderate severity event (S=2) with some internal resonance variability (I=1.495), would be evaluated as equivalent to serious event (S=3) with standard internal variability (I=1.00);
- events that have the smallest possible internal variability (plenty of time and resources, full control and double-checked preconditions) would result in halving (I=0.52) the RI of the same function under standard conditions (I=1.00).
3. Results
- Environmental stressors and constraints;
- Socio-technical variables, such as need of maintenance, trained personnel, company constraints;
- Task-related variables related to the activities required to keep the process run smoothly, which can be considered as embedded skills of tractor drivers, such as control tractor’s path and speed while ploughing.
4. Discussion
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
| OSHA | Occupational Safety and Health Administration (United States of America) |
| TACE | Thoroughness-risk Awareness-Compliance-Efficiency |
| FRAM | Functional Resonance Analysis Method |
| ETTO | Efficiency Thoroughness Trade-Off |
| TRI | Total Resonance Index |
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| From level | To level | Reason | Effect |
| Thoroughness | Risk awareness |
Economic constraints | Slight reduction in rigor but risk is kept low |
| Lack of time, deadlines | Skip of double checks | ||
| Safety detriment | Less maintenance | ||
| Risk awareness |
Compliance | Operational pressure, workload | Only legal minimum done, potential gaps appear |
| Normalisation of safety deviances [30] | Tasks that don’t follow best practices become normal | ||
| Skilled training decay or unavailability | Tasks are carried out by non-specialised workers | ||
| Compliance | Efficiency | Loss of supervision | Resonance and risks propagate unnoticed |
| Informal shortcuts | Growth of hidden failures | ||
| Performance push | Hazard normalisation |
| Severity | Label | Description |
| 1 | Minor | Temporary inconvenience, requiring first aid |
| 2 | Moderate | Injury requiring medical treatment |
| 3 | Serious | Injury with prolongated absence or restrictions |
| 4 | Severe | Serious injury or permanent partial disability |
| 5 | Fatal | Death or catastrophic irreversible outcome |
| Parameter | Variability | Impact value |
| Timing | Early | 0.85 |
| In time | 1.00 | |
| Delay | 1.15 | |
| Late | 1.30 | |
| Too early / too late | 1.50 | |
| Preconditions | Double checked | 0.85 |
| Performed | 1.00 | |
| Completely skipped | 1.50 | |
| Resources | More than enough | 0.85 |
| Enough | 1.00 | |
| Few | 1.15 | |
| Few | 1.30 | |
| Too few | 1.50 | |
| Control | Redundant | 0.85 |
| Active | 1.00 | |
| Absent | 1.50 |
| Information | Count | Statistics |
| Rollover incidents | 44 | A total of 120 accidents involving farming machinery was found |
| Fatal outcomes | 30 | 68% of cases involved the death of the tractor’s driver |
| Age reported (16/44) |
4 | Age > 60 years old |
| 6 | Age between 40 and 60 years old | |
| 6 | Age < 40 years old | |
| Environmental or socio-technical factors affecting the accident | 18 | Slope or terrain conditions |
| 12 | Surface conditions | |
| 8 | Load | |
| 5 | Weather | |
| 3 | Mechanical failure |
| Function | Thoroughness to Risk Awareness |
Risk awareness to Compliance |
Compliance to Efficiency | Tradeoffs / Risk Effects |
| Maintenance | Preventive inspections |
Only perform legally required checks | Postpone until breakdown | Accumulation of hidden and latent failures |
| Involvement of personnel | Senior technicians only in key activities | Setup done by general operators | Setup without validation | Increased error rate, misalignment, reduced reliability |
| Path conditions |
Less frequent path surveys | Assume paths are safe | Work with bad path conditions | Transport incidents, travel delays, vehicle damage |
| Environmental constraints | Accept margins on weather forecasts | Ignore forecasts unless extreme warnings | Work despite adverse weather |
Soil damage, machine slippage, operator stress |
| Monitor speed |
Work speeds are checked periodically | Trust operators’ judgement | Prioritize faster work | Mechanical stress, increased accident probability |
| Monitor path |
Accept minor deviations |
Path corrections done to prevent high risks | Deviations for faster operation | Field work inconsistency, increased rollover risks |
| Soil conditions |
Accept slight soil instability | Ignore soil conditions unless critical | Operate even on poor soils | Poor traction, field surface degradation |
| Company constraints |
Slightly compress work schedules | Enforce minimum procedure compliance | Rush operations | Neglected controls, risk-taking behavior |
| Functions | Input | Output | Control | Preconditions | Resources | Time |
| Tractor setup | - | Tractor ready | Maintenance policy |
Wearing PPE | Spare parts | - |
| Plow setup | - | Plow ready | - | Know-how | - | - |
| Tractor coupling |
Tractor ready, plow ready | Coupling done | - | Presence of auxiliary systems | - | - |
| Travel to field | Coupling done | Arrived at field | - | Road conditions, seatbelts fastened | - | Deadline |
| Ploughing | Arrived at field | Ploughing started | Control slippage, control speed | Check access and stability, deploy ROPS | - | Environmental constraints |
| Path Conditions |
- | Road conditions | - | Driving requirements |
- | - |
| Turning | End of strip | Opposite side reached | Control speed | - | - | - |
| Furrow-side ploughing | - | Verify field | Control path, control speed | Stability check | - | - |
| Travel to warehouse |
Verify field | Arrive to warehouse |
- | Road conditions |
- | - |
| End of operations |
Go back to warehouse |
- | - | - | - | Company constraints |
| Traction monitoring |
Ploughing started | Control slippage | - | - | - | - |
| Speed monitoring |
Ploughing started | Control speed | - | - | - | - |
| Soil conditions | Ploughing started | Verify stability, Stability check | - | - | - | - |
| Function |
Expected output |
Potential variability |
Influencing aspects |
Resonance potential |
| Tractor setup | Tractor ready | Delay or incomplete setup due to missing parts | Maintenance (Control), Spare parts (Resource) | Setup delay might result in coupling delays and delayed start of operations |
| Plow setup | Plow ready | Incorrect plow setup if technical know-how is lacking | Technical know-how (Precondition) |
Incorrect setup leads to poor ploughing quality |
| Tractor coupling |
Coupling done | Misalignments | Plow ready (Input) |
Setup errors propagation to field |
| Travel to field |
Arrived at field | Travel delays due to road conditions | Road conditions (Precondition) |
Ploughing during bad weather |
| Ploughing | Ploughing started | Slippage, unstable operation, performance loss | Control slippage, Control speed (Control), Verify stability (Precondition), Environmental constraints (Time) | Variability increases and affects traction, path and speed |
| Path Conditions |
Road conditions | Inaccurate or outdated information about path status | None directly | Path uncertainties increase risk during travel phases |
| Turning | Opposite side reached | Inaccurate turning if speed control fails | End of strip (Input), Control speed (Control) | Overlapping and additional turning |
| Furrow-side ploughing | Verify field | Deviation from optimal ploughing path | Stability check (Precondition), Control path, Control speed (Control) | Poor ploughing, requiring more operation time |
| Travel to warehouse |
Arrive to warehouse |
Delayed return due to road conditions | Road conditions (Precondition) |
Extended exposure to risks or adverse weather |
| End of operations |
– | Previous delay can affect shutdown procedures | Company constraints (Time) | Missing maintenance or requiring additional maintenance in next use |
| Traction monitoring |
Control slippage | Missed detection of traction loss |
Ploughing started (Input) |
Worse soil condition and less operational safety |
| Speed monitoring |
Control speed | Failure to maintain operational speed |
Ploughing started (Input) |
Speed variability affects traction, work uniformity |
| Path monitoring |
Control path | Deviations from optimal route during ploughing | Ploughing started (Input) |
Route errors require more time |
| Functions | Severity | Weights | Resonance Index (RI) | |||
| Thoroughness | Risk awareness | Compliance | Efficiency | |||
| Tractor setup | 3 | 2,08 | 0.77 | 0.92 | 1.10 | 1.35 |
| Plough setup | 3 | 1,33 | 0.77 | 0.92 | 1.15 | 1.46 |
| Coupling | 4 | 4,64 | 0.85 | 0.97 | 1.20 | 1.50 |
| Travel to field | 4 | 1 | 0.85 | 0.97 | 1.23 | 1.68 |
| Ploughing | 5 | 3,5 | 0.90 | 1.05 | 1.40 | 2.04 |
| Turning | 5 | 1,33 | 0.93 | 1.07 | 1.46 | 2.08 |
| Furrow-side ploughing | 5 | 2,08 | 0.88 | 1.04 | 1.38 | 1.96 |
| Travel to warehouse |
4 | 2,08 | 0.80 | 0.95 | 1.25 | 1.66 |
| End of operations | 3 | 1,33 | 0.72 | 0.88 | 1.08 | 1.42 |
| Functions | Aggregated variability | Background functions | TRIt | TRIa | TRIc | TRIe |
| Tractor setup | Tractor setup, equipment setup | Specialised personnel, maintenance |
9.16475 | 11.78 | 14.96 | 27.955 |
| Plough setup | Tractor coupling | Path conditions | 7.62 | 9.93 | 12.6 | 21.82 |
| Coupling | Travel to field | Environmental constraints, monitor traction, monitor speed, soil conditions | 11.1425 | 13.64 | 17.405 | 29.405 |
| Travel to field | Start ploughing | Control speed | 8.8625 | 11.75 | 15.0875 | 26.8375 |
| Ploughing | Turning | Control speed, control path, Soil conditions | 11.3625 | 14.25 | 16.725 | 27.65 |
| Turning | Furrow-side ploughing | Path conditions | 8.3425 | 10.93 | 13.2325 | 24.4075 |
| Furrow-side ploughing | Travel to warehouse | Maintenance, company constraints | 8.03 | 9.68 | 10.37 | 16.1875 |
| Travel to warehouse |
Tractor setup, equipment setup | Specialised personnel, maintenance |
9.16475 | 11.78 | 14.96 | 27.955 |
| End of operations | Tractor coupling | Path conditions | 7.62 | 9.93 | 12.6 | 21.82 |
| Functions | TRI variations among working modes | ||
| From thoroughness to Risk Awareness |
From Risk Awareness to compliance |
From compliance to efficiency |
|
| Tractor setup | +28.54% | +26.99% | +86.86% |
| Plough setup | +30.31% | +26.89% | +73.17% |
| Coupling | +22.41% | +27.60% | +68.95% |
| Travel to field | +32.58% | +28.40% | +77.88% |
| Ploughing | +25.41% | +17.37% | +65.32% |
| Turning | +31.02% | +21.07% | +84.45% |
| Furrow-side ploughing | +20.55% | +7.13% | +56.10% |
| Travel to warehouse | +28.54% | +26.99% | +86.86% |
| End of operations | +30.31% | +26.89% | +73.17% |
| Average variation | +27.26% | +22.21% | +73.25% |
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