Pith Number

pith:4HZIYZ7U

pith:2025:4HZIYZ7U4JSBICVIHGPFZRESTP

not attested not anchored not stored refs pending

Frequency-Domain Analysis of the Euler-Bernoulli and Timoshenko Beams with Attached Masses

Alexander Zuyev, Julia Kalosha

Transfer functions are obtained for Timoshenko and Euler-Bernoulli beams with attached masses and local damping via variational principles.

arxiv:2507.22147 v5 · 2025-07-29 · math.OC

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\pithnumber{4HZIYZ7U4JSBICVIHGPFZRESTP}

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3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

Transfer functions are obtained for the Timoshenko and Euler-Bernoulli beam models with the output measurements provided by a point sensor, and comparative Bode plots are presented for different choices of output signals and damping coefficients.

C2weakest assumption

The interface conditions involving the lumped control actuator and local damping can be incorporated directly into the variational formulation without additional modeling approximations beyond those already present in the Euler-Bernoulli and Timoshenko theories.

C3one line summary

Derives state-space models and transfer functions for Euler-Bernoulli and Timoshenko beams with control actuator and damping, then compares Bode plots across output choices.

Receipt and verification

First computed	2026-06-02T02:04:47.541963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1f28c67f4e264140aa8399e5cc4929bd6456934ac1f89250fe4ed11b6a74d83

Aliases

arxiv: 2507.22147 · arxiv_version: 2507.22147v5 · doi: 10.48550/arxiv.2507.22147 · pith_short_12: 4HZIYZ7U4JSB · pith_short_16: 4HZIYZ7U4JSBICVI · pith_short_8: 4HZIYZ7U

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4HZIYZ7U4JSBICVIHGPFZRESTP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e1f28c67f4e264140aa8399e5cc4929bd6456934ac1f89250fe4ed11b6a74d83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad010830ab344fc21fd130f52bbe6891214a81619e52304e0a0f71d74626bef1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-07-29T18:26:21Z",
    "title_canon_sha256": "a0060e9f718b09692902cea51f45a2907497f7b37812c7e23b41eb0047a6eb0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.22147",
    "kind": "arxiv",
    "version": 5
  }
}