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Scaravella F.lli
3
CALCOLO DELLA COPPIA APPLICATA
La coppia C, necessaria per il funzionamento di una vite a sfere,
alla quale sia applicato un carico assiale F, vale:
Ct = = kgm
F • p
2000 • π • η
dove: F, è il carico assiale
p, è il passo della vite
η, è il rendimento della coppia elicoidale (0,9).
A questa si dovrebbero aggiungere la coppia di inerzia dell’albero
filettato e la coppia dovuta al precarico della madrevite.
CALCOLO DEI CARICHI E
DELLA DURATA
Il calcolo del carico ammissibile sull’albero può essere impostato,
specialmente per le viti lunghe e sottili, incastrate ad una estremità
e libere dall’altra (caso più gravoso), con i procedimenti dei solidi
caricati di punta (formule di Eulero).
Il carico al quale è soggetta la vite a sfere deve essere considerato
applicato in condizioni dinamiche, talvolta con urti: pertanto, il
dimensionamento deve tenere conto di questa condizione.
Inoltre è da rilevare che il dimensionamento della vite a sfere
deve essere effettuato, tenendo conto non della sola vite, ma
della resistenza del gruppo vite-madrevite-sfere.
Per quanto riguarda la durata di una vite, si fa notare che essa è
correlata con la sua resistenza alla fatica, e con il numero di volte
in cui la sfera tocca un dato punto della gola.
Perciò, la misura di durata di una vite a sfere è espressa in numero
di rotazioni (10
6
giri, ossia milioni di giri).
Il coefficiente C
din
di carico dinamico indica il carico ammissibile
(in kg) per una durata T di 10
6
giri. Il coefficiente C
stat
di carico
statico corrisponde al carico massimo ammissibile sulla vite in
condizioni di riposo, o per rotazioni lentissime.
Oltre tale carico si ha una deformazione permanente sulle piste
di rotolamento di 0,0001 rispetto al diametro della sfera.
Per la scelta della vite è necessario, però, conoscere il carico
medio Fm: ossia il carico corrispondente alla utilizzazione reale
della vite, che è determinato dalle condizioni di impiego della
vite stessa e può essere calcolato approssimativamente con la
formula seguente:
F
v
=
F
1
3
T
1
+
F
2
3
T
2
+...
+
F
n
3
T
n
T
3
dove:
F
1
è il carico costante durante T
1
rotazioni;
F
2
…F
n
, sono i carichi costanti durante T
2
…T
n
rotazioni;
T = T
1
+ T
2
+ … + T
n
, sono il numero il numero totale di rotazioni
durante le quali agiscono i carichi F
1
, F
2
, …, F
n
.
Il calcolo della durata della vite:
dove:
T
v
durata della vite in numero di giri
C
din
carico dinamico
(v. Tabelle dei dati tecnici, pagg. 10 ÷ 69)
F
m
carico medio di utilizzazione
Per il calcolo della durata, si considera per F
m
il valore medio del
carico, che influisce sulla durata alla terza potenza.
Ancora il rapporto
può essere denominato λ e ricavato in funzione del numero di
rotazioni richiesto alla vite.
VITA OPERATIVA
La vita nominale di una vite a sfere è il numero di ore di attività
ad una velocità costante (o il numero di giri) che la vite è in
grado di sopportare prima che si presentino i primi segni di fatica
(sfogliature) sulle superfici di rotolamento (vite e madrevite).
L’esperienza pratica ha evidenziato che viti identiche, che
lavorano nelle stesse condizioni, hanno diversa durata; da qui
il concetto di vita nominale. La vita nominale, in accordo con
la definizione ISO, è la vita raggiunta o superata dal 90% di un
sufficientemente ampio numero di viti identiche che lavorano
nelle stesse condizioni (allineamento, carico applicato, velocità,
accelerazione, temperatura, lubrificazione e pulizia).
La vita utile è la durata di una specifica vite prima del cedimento. Il
cedimento non è di norma causato dalla fatica (sfogliamento), ma
dall’usura del sistema di ricircolazione, corrosione, contaminazione
e, più in generale, dalla perdita delle caratteristiche funzionali.
Per ottenere una vita utile equivalente alla vita nominale la vite
deve essere sottoposta ad un carico medio effettivo non superiore
all’ 80% del carico dinamico lungo una corsa non inferiore a 4
volte il passo.
La determinazione della “taglia” della vite per ottenere la durata
richiesta è fornita dall’esperienza acquisita con applicazioni simili;
è necessario inoltre considerare le specifiche necessità strutturali
come la robustezza dei terminali (codoli) e degli attacchi della
madrevite a causa degli sforzi applicati a questi elementi.
Montaggio
Al fine di garantire la durata prevista della vite è importante
assicurare un allineamento corretto della stessa con le guide di
scorrimento. Carichi radiali e spinte eccentriche che diano origine
a momenti sono tassativamente da evitare perchè riducono in
maniera significativa la durata della vite.